Elliott Ward Cheney
Research Publications
Articles, Reports, etc.
("MR" citations are to Mathematical Reviews)
-
E.W. Cheney and A.A. Goldstein, "A finite algorithm for the solution of
consistent linear equations and inequalities and for the Tchebycheff
approximation of inconsistent linear equations", Pacific Journal of
Mathematics 8(1958) 415-427. MR 21-315.
-
E.W. Cheney and A.A. Goldstein, "Note on a paper by Zuhovickii concerning
the Tchebycheff problem for linear equations", Journal of the
Society for Industrial and Applied Mathematics 6(1958)
233-239. MR 21#4536.
-
E.W. Cheney and A.A. Goldstein,
"Proximity maps for convex sets", Proceedings
of the American Mathematical Society 10(1959)448-450. MR 21#3755.
-
E.W. Cheney,
"An example in differential equations: the N-body problem",
American Mathematical Monthly 67 (1960) 456-457.
-
E.W. Cheney and H.L. Loeb, "Two new algorithms for rational approximation",
Numerische Mathematik 3(1961)72-75. MR 22#21692.
-
E.W. Cheney and A.A. Goldstein, "Newton's method for convex programming and
Tchebycheff approximation", Numerische Mathematik 1(1959)253-268
MR 22#316.
-
E.W. Cheney and A.A. Goldstein,
"Tchebycheff approximation in locally convex
spaces", Bulletin of the American Mathematical Society,
68(1962)449-450. MR 26#531.
-
E.W. Cheney and H.L. Loeb, "On rational Chebyshev Approximation",
Numerische Mathematik 4(1962)124-127. MR 27#2088.
-
E.W. Cheney and A.Sharma,
"On a generalization of Bernstein polynomials",
Revista Matematica Dell University di Parma, 5(1964)77-84.
MR 33#6233.
-
E.W. Cheney and A. Sharma, "Bernstein power series", Canadian Journal
of Mathematics, 16(1964)241-252. MR 31#3770.
-
E.W. Cheney and T. H. Southard, "A survey of methods for rational
approximation, and particular reference to a new method based on a
formula of Darboux", SIAM Review (Society for Industrial and applied
Mathematics) 5(1963)219-231. MR 28#1754.
-
E.W. Cheney and H.L. Loeb, "Generalized rational approximation", Society
for Industrial and Applied Mathematics, Journal of Numerical
Analysis, 1(1964)11-25. MR 31#2546.
-
E.W. Cheney
and A. A. Goldstein, "Tchebycheff approximation and related
extremal problems", Journal of Mathematics and Mechanics
14(1965)87-98. MR 30#4103.
-
E.W. Cheney
"Approximation by generalized rational functions" pp.101-110 in
"Approximation of Functions", H. L. Garabedian, ed., Elsevier
Publishing Company, Amsterdam, 1965. MR 32#8006.
-
E.W. Cheney,
"An elementary proof of Jackson's theorem on
mean-approximation", Mathematics Magazine 38(1965) 189-191.
MR 31#5019.
-
E.W. Cheney and T.J. Rivlin,
"A comparison of uniform approximations on
an interval and a finite subset thereof", Society for Industrial and
Applied Mathematics Journal of Numerical Analysis 3(1966) 311-320.
MR 34#4773.
-
E.W. Cheney and H.L. Loeb,
"On the continuity of rational approximation
operators", Archive for Rational Mechanics and Analysis 21(1966)
391-401. MR 34#6402.
-
E.W. Cheney and A.A. Goldstein,
"Mean-square approximation by generalized
rational functions", Mathematische Zeitschrift, 95(1967), 232-241.
MR 36#3022.
-
E.W. Cheney and D.E. Wulbert,
"Existence and unicity of best
approximations", Mathematica Scandinavica, 24 (1969), 113-140.
MR 41#5857.
corrigendum: ibid 27(1970)245.
-
E.W. Cheney and A.A. Goldstein,
"A note on nonlinear approximation theory",
pp. 251-255 in "Numerische Mathematik" Birkhauser-Verlag
ISNM Series, Vol. 9, 1968. MR 42#6479.
-
E.W. Cheney and F. Schurer,
"A note on the operators arising in spline
approximation", Journal of Approximation Theory, 1(1968), 94-102.
MR 37#5580.
-
E.W. Cheney and F. Schurer,
"On interpolating cubic spline and equally-spaced nodes",
Indagationes Mathematica, 30 (1968), 517-524.
MR 40#6129.
-
E.W. Cheney and C.R. Hobby, P.D. Morris, F. Schurer, D.E. Wulbert,
"On the minimal property of the Fourier projection", Bulletin of the
American Mathematical Society, 75 (1969), 51-52. MR 38#4883.
-
E.W. Cheney and C.R. Hobby, P.D. Morris, F. Schurer, D.E. Wulbert,
"On the minimal property of the Fourier projection", Transactions
of the American Mathematical Society, 143 (1969), 249-258. MR 41#704.
-
E.W. Cheney and K.H. Price, "Minimal interpolating projections",
Proceedings of a conference at Oberwolfach, Germany,
June 1969. Birkhauser-Verlag ISNM Vol. 15, Basel,
1970, pp. 115-121. MR 51#3778.
(Also, Report TNN-91, University of Texas at Austin, Computation Center.)
-
E.W. Cheney and F. Schurer, "Convergence of cubic spline
interpolants", Journal of Approximation Theory, 3(1970), 114-116. MR 40#7680.
-
E.W. Cheney and K.H. Price "Minimal projections", pp. 261-289 in
"Approximation Theory", Ed. by A. Talbot, Academic Press, New York,
1970. MR 42#571.
-
E.W. Cheney and B.D. Anderson,
"Continuous function spaces and integral norms",
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg,
36(1971), 66-74. MR 48#775.
-
E.W. Cheney and J. Blatter, "On the existence of extremal projections",
Journal of Approximation Theory 6(1971) 72-79. MR 49#3403
-
E.W. Cheney and A. Bacopoulos, "The approximation of functions: an
introduction to the theory and to some open problems", Bulletin
de la Societe Mathematique de Grece, 12(1971), 45-65.
MR 45#7348. expository article.
-
E.W. Cheney and J. Blatter, "Minimal projections on hyperplanes in sequence
spaces", Annali di Matematica Pura ed Applicata, 101 (1974),
215-227. MR 50#10644
-
"Projections with finite carrier", in "Numerische Methoden der Approximationstheorie", ISNM Vol. 16, Birk-hä user Verlag,
Basel 1972, pp. 19-32. MR 53#8738.
-
E.W. Cheney and P.D. Morris, "On the existence and characterization of
minimal projections", Journal fü r die Reine und Angewandte
Mathematik, 270(1974), 61-76. MR 50#10653.
-
E.W. Cheney and P.D. Morris, "Stability properties of trigonometric
interpolation operators", Mathematische Zeitschrift 131 (1973)
153-164. MR 48#4603.
-
E.W. Cheney and P.D. Morris, "The numerical determination of projection
constants", ISNM Series, Birkhauser-Verlag, 26(1975), 29-40.
MR 52#12294.
(Also,
Report CNA-75
, Center for Numerical Analysis,
University of Texas at Austin, August 1973.)
-
T.A. Kilgore and E.W. Cheney,
"A theorem on interpolation in Haar subspaces",
Aequationes Mathematica 14(1976),391-400. MR 53#13924.
(Also,
Report CNA-80,
Center for Numerical Analysis,
University of Texas at Austin, January 1974.)
-
E.W. Cheney and K.H. Price,
"A linear best approximation operator", pp.441-
444 in "Approximation Theory", ed. by G.G. Lorentz, Academic
Press, 1973. MR 49#3409.
-
E.W. Cheney, P.D. Morris, and K.H. Price,
"On an approximation
operator of de La Vallé e Poussin", Journal of Approximation
Theory, 13 (1975), 375-391. MR:52#8745.
-
T.A. Kilgore and E.W. Cheney,
"An existence theorem for solutions of
nonlinear systems of equations",
Report CNA-97, Center for Numerical Analysis,
University of Texas at Austin,
January 1975.
-
E.W. Cheney and T.J. Rivlin,
"Some polynomial approximation operators",
Mathematische Zeitschrift, 145(1975), 33-42.
MR 52#14772
(Also,
Report CNA-96, Center for Numerical Analysis,
University of Texas at Austin, November 1974.)
-
E.W. Cheney,
"A survey of recent progress in approximation theory", Proceedings
of the International Congress of Mathematicians, Vancouver, 1974,
Vol. 2, 411-415. MR 55#929.
-
E.W. Cheney and T. J. Rivlin,
"A note on some Lebesgue constants", Rocky
Mountain Journal of Mathematics, 6(1976), 435-439. MR 54#3265
(Also,
Report CNA-98, Center for Numerical Analysis,
University of Texas at Austin, February 1975.)
-
E.W. Cheney,
"A bibliography for approximation theory",
Report CNA-94,
Center for Numerical Analysis,
University of Texas at Austin,
October 1974.
-
E.W. Cheney,
"Applications of fixed-point theorems to approximation theory",
Proceedings of a Symposium on Approximation Theory, Calgary 1975.
edited by A. Law and B. Sahney. pp. 1-8. Academic Press 1976.
MR 54#5705.
-
E.W. Cheney and C. Franchetti,
"Minimal projections in $L_1$ spaces", Duke
Mathematical Journal 43(1975)501-510. MR 54#11044.
-
E.W. Cheney and C. Franchetti,
"The problem of minimal projections in $L_1$
spaces", Proceedings of the Symposium on Approximation Theory,
Austin, Texas 1976.
Edited by G.G. Lorentz, C.Chui, and L.L.
Schumaker. Academic Press, 1977. MR 56#3520.
-
C. Franchetti and E.W. Cheney,
"Minimal projections of finite rank in
sequence spaces", Colloquia Mathematica Societatis Janos Bolyai,
Vol.19, Fourier Analysis and Approximation Theory. Budapest 1979,
pp. 241-253.
MR 84b#46010
(Also,
Report CNA-110, Center for Numerical Analysis,
University of Texas at Austin, September 1976.)
-
E.W. Cheney and C. Franchetti,
"Orthogonal projections in spaces of continuous
functions", Journal of Mathematical Analysis and Applications
63(1978) 253-264. MR 58#1923.
-
E.W. Cheney,
"Projection operators in approximation theory",
in
"Studies in Functional Analysis", ed. by R.G.
Bartle, Mathematical Association of America. MAA Studies in
Mathematics Series, no. 21. 1980. MR 83e#41001.
(Also,
Report CNA-115,
Center for Numerical Analysis,
University of Texas at Austin, October 1976.)
-
G.M. Phillips, J.H. McCabe, and E.W. Cheney,
"A mixed-norm bivariate
approximation problem with applications to Lewanowicz operators",
pp. 315-323 in
"Multivariate Approximation" ed. by D. C. Handscomb,
Academic Press, New York 1978. MR 80I#41027
(Also,
Report CNA-127,
Center for Numerical Analysis,
University of Texas at Austin, October 1977.)
-
E.W. Cheney and W.F. Gordon,
"Bivariate and multivariate interpolation
with noncommutative projectors" pp.381-387 in "Linear Spaces and
Approximation" ed. by P.L.Butzer and B. Nagy, ISNM Series, Vol.
40, Birkhauser-Verlag, Basel, 1978. MR 80A#41035.
-
G.M. Phillips, J.H. McCabe, and E.W. Cheney,
"On simultaneous Chebyshev
approximation" Journal of Approximation Theory, 27 (1979), 93-98.
MR 80m#41014.
(Also,
Report CNA-131,
Center for Numerical Analysis,
University of Texas at Austin,
February 1978.)
-
W.A. Light and E.W. Cheney,
"On the approximation of a bivariate function by
the sum of univariate functions"
Journal of Approximation Theory 29 (1980),305-322. MR 82d#41023.
(Also,
Report CNA-140, Center for Numerical Analysis,
University of Texas at Austin,
August 1978.)
-
M. von Golitschek and E.W. Cheney,
"On the algorithm of Diliberto and Straus
for approximating bivariate functions by univariate ones",
Numerical Functional Analysis and Optimization, 1(1979), 341-363.
MR 80G#41023
(Also,
Report CNA-141, Center for Numerical Analysis,
University of Texas at Austin,
August 1978.)
-
E.W. Cheney,
Review of "Discontinuous Chebyshev Systems", by Roland
Zielke, Bull. Amer. Math. Soc. (N.S.) 3 (1980), 733-735.
-
W.A. Light, J.H. McCabe, G.M. Phillips, and E.W. Cheney,
"The approximation
of bivariate functions by sums of univariate ones using the
$L_1$ metric"
Proceedings of the Edinburgh Mathematical Society 25 (1982), 173-181.
MR 84k#41036.
(Also,
Report CNA-147, Center for Numerical Analysis,
University of Texas at Austin, March 1979.)
-
E.W. Cheney,
"Approximating multivariate functions by combinations of univariate
ones",
Proceedings
of the 1979 Army Numerical Analysis and Computers Conference.
MR 81A#65026
(Also,
Report CNA-148, Center for Numerical Analysis,
University of Texas at Austin.
April 1979.)
-
E.W. Cheney,
"Best approximation in tensor product spaces",
Proceedings of the 1979 Dundee
Conference on Numerical Analysis. "Numerical Analysis"
ed. by G.A.Watson. Lecture Notes in Mathematics Vol. 773, 25-32,
Springer-Verlag, New York, 1980. MR 81i#65012.
(Also,
Report CNA-151,
Center for Numerical Analysis,
University of Texas at Austin.
August 1979.)
-
W.A. Light and E.W. Cheney,
"Multivariate approximation with tensor product
spaces",
Report CNA-153,
Center for Numerical Analysis,
University of Texas at Austin,
November 1979.
-
E.W. Cheney and Carlo Franchetti,
"Best approximation problems for multivariate
functions", Boll. Unione
Math. Ital.(5) 18-B (1981),1003-1015. MR 83a#41023.
(Also,
Report CNA-155,
Center for Numerical Analysis,
University of Texas at Austin,
January 1980.)
-
Carlo Franchetti and E.W. Cheney,
"Simultaneous approximation and restricted
Chebyshev centers in function spaces",
pp. 65-88 in "Approximation Theory and Applications" ed. by Zvi
Ziegler, Academic Press, New York, 1981. MR 82F#41042
(Also,
Report CNA-157,
Center for Numerical Analysis,
University of Texas at Austin,
May 1980.)
-
W.A. Light and E.W. Cheney,
"Some best-approximation theorems in tensor-product spaces",
Math. Proceedings of the Cambridge Philosophical Society,
89 (1981), 385-390.
MR 82D#41045
(Also,
Report CNA-165,
Center for Numerical Analysis,
University of Texas at Austin,
October, 1980.)
-
J. Respess and E.W. Cheney,
"Best approximation problems in tensor product
spaces",
Pacific J. Math. 102 (1982), 437-446. MR 84b#41030
(Also,
Report CNA-167,
Center for Numerical Analysis,
University of Texas at Austin, January 1981.)
-
E.W. Cheney and J. Respess,
"Approximation problems in tensor product spaces
pp. 729-734 in "Approximation Theory III", E.W.Cheney, ed.
Academic Press, 1980.
MR82B#41040
-
E.W. Cheney and M. von Golitschek, "Failure of the alternating algorithm
for best approximation of multivariate functions",
Report 172,
Center for Numerical Analysis, University of Texas at Austin, May 1981.
J. Approximation Theory, 38 (1983),139-143. MR 85b#41047.
-
J.R. Respess and E.W. Cheney,
"On Lipschitzian proximity maps",
pp. 75-85 in "Nonlinear
Analysis and Applications", edited by S.P.Singh and J.H.Burry.
Lecture Notes in Pure and Applied Mathematics, Vol. 80, Marcel
Dekker, Inc., New York, 1982. MR 84g#41033.
(Also,
Report CNA-174,
Center for Numerical Analysis,
University of Texas at Austin,
July 1981.)
-
E.W. Cheney and W.A. Light "The characterization of best approximations in
tensor product spaces". Analysis 4 (1984) 1-26.
MR 86g#41048.
-
M. von Golitschek and E.W. Cheney,
"The best approximation of bivariate
functions by separable functions",
in "Topological Methods in Nonlinear Functional
Analysis", Contemporary Math. 21(1983),125-136. (Amer. Math. Soc.)
MR 85g#41033.
(Also,
Report CNA-179,
Center for Numerical Analysis,
University of Texas at Austin,
October 1982.)
s
-
E.W. Cheney,
"The best approximation of multivariate functions by combinations
of univariate ones", in "Approximation Theory IV", C.K.Chui,
L.L. Schumaker, and J.D. Ward, eds. Academic Press, New York,
1983, pp. 1-26. MR 85k#41044.
-
Carlo Franchetti and E.W. Cheney,
"The embedding of proximinal sets",
J. of Approximation Theory 48 (1986), 213-225. MR 87m#41037
(Also,
Report CNA-183,
Center for Numerical Analysis,
University of Texas at Austin,
June 1983.)
-
Carlo Franchetti and E.W. Cheney,
"Minimal projections in tensor-product spaces",
Approximation Theory, 41 (1984),367-381. MR 86k#46019.
(Also,
Report CNA-184,
Center for Numerical Analysis,
University of Texas at Austin,
July 1983.)
-
E.W. Cheney,
"Four lectures on multivariate approximation theory", in
"Approximation Theory and Spline Functions", ed. by S.P.Singh, J.H.
W. Burry, and B. Watson. I. D. Reidel Publishing Co.,
Boston, 1984, pp.65-88. MR 86i#41024.
(Also,
Report CNA-188, Center for Numerical Analysis,
University of Texas at Austin, November 1983.)
-
E.W. Cheney,
"Recent progress in multivariate approximation theory",
Proceedings of the Conference On Constructive Theory Of
Functions, Held in Varna, Bulgaria, May 1984. Publishing House of the
Bulgarian Academy of Sciences, Sofia, 1984, pp. 208-213.
-
E.W. Cheney,
"Five lectures on the algorithmic aspects of approximation theory",
In the proceedings of a summer workshop on numerical
analysis and approximation theory held at the University of Lancaster
Lancaster England, July 1984. in "Numerical Analysis Lancaster
1984", ed. by P.R. Turner. Lecture Notes in Mathematics, Vol.
1129, Springer-Verlag, New York, 1985. pp. 1-20. MR 87a#65040.
- E.W. Cheney and M.J.D. Powell,
"The differential correction algorithm
for generalized rational functions".
Constructive Approximation, 3 (1987), 249-256. MR 88i#65020.
(Also,
Report CNA-???, Center for Numerical Analysis,
University of Texas at Austin, October 1984.)
-
E.W. Cheney,
"Bivariate approximation using monotone norms", in
"Approximation Theory V", ed. by L.L. Schumaker, Academic Press,
New York, 1986. pp. 299-302.
-
E.W. Cheney,
"Ill-posed problems in multivariate approximation",
in Proceedings of a Conference held in Santiago Chile, December,
1986,
"Topics in Multivariate Approximation" ed. by C.K. Chui, L.L.
Schumaker, and F.I. Utreras, Academic Press, New
York, 1987. pp.13-18. MR 88k#41002.
-
E.W. Cheney,
Book review of "Nonlinear Approximation Theory" by D.
Braess, Bulletin American Mathematical Society, vol. 17, July 1987.
-
E.W. Cheney,
"Algorithms for approximation" pp. 67-80 in "Approximation
Theory" C. de Boor, ed., Proceedings of Symposia in Applied
Mathematics, Vol. 36, American Mathematical Society, 1986.
MR 87m#65035.
-
E.W. Cheney and W. A. Light and M. von Golitschek, "Approximation with
monotone and lattice norms" preprint, 23pp., August 1987.
Journal of Approximation Theory, 68(1992), 183-205. MR 93b#41020.
-
E.W. Cheney, Nira Dyn, and W.A. Light,
"Interpolation by piecewise
linear radial basis functions", Journal of
Approximation Theory, 59 (1989), 202-223.
MR 91a#41005.
(Also,
Report CNA-???, Center for Numerical Analysis,
University of Texas at Austin, July 1988.)
-
E.W. Cheney and W.A. Light,
"Multivariate interpolation by sums of
functions of fewer variables". In "Approximation Theory
VI", ed. by C.K. Chui, L.L. Schumaker, and J.D. Ward.
(Proceedings of the
Sixth Texas International Symposium on
Approximation Theory, January 6-10, 1989, College Station, Texas.)
Academic Press, 1989. pp. 403-404.
-
E.W. Cheney and W.A. Light, "Interpolation by piecewise linear
radial basis functions, II", Journal of Approximation
Theory, 64 (1991), 38-54. MR 92c#41004.
-
W.A. Light and E.W. Cheney,
"Quasi-interpolation with translates of a function having
non-compact support"
in Constructive Approximation, 8 (1992), 35-48.
MR 93a#41027.
(Also,
"The Fix-Strang theory for functions having non-compact support",
Report CNA-234,
Center for Numerical Analysis,
University of Texas at Austin,
October 1989.)
-
Xingping Sun and E.W. Cheney, "The fundamentality of sets of ridge
functions",
Aequationes Mathematicae, 44 (1992), 226-235. MR 93m#41023.
(Also,
Report CNA-245,
Center for Numerical Analysis,
University of Texas at Austin, August 1990, and
CAT Report No. 224, Texas A&M University.)
-
W.A. Light and E.W. Cheney,
"Interpolation by periodic radial basis
functions",
Journal of Mathematical Analysis and Applications,
168 (1992), 111-130. MR 93f#41039.
(Also,
Report CNA-248, Center for Numerical Analysis,
University of Texas at Austin, September 1990, and
CAT report 228, August 1990.)
-
E.W. Cheney and Yuan Xu,
"Interpolation by periodic radial functions",
International Journal of Computers and Mathematics with Applications
24 (1992), 201-215. MR 94a#41012.
-
E.W. Cheney and Yuan Xu,
"Strictly positive definite functions on
spheres", preprint, February 9, 1991. Proceedings of the American
Mathematical Society, 116 (1992) 977-981. MR 93b#43005.
-
E.W. Cheney,
"Approximation by functions of nonclassical form",
Paper for the NATO Conference on Approximation Theory, Spline
Functions and Applications held in Acquafredda di Maratea,
Italy, April 29-May 9, 1991. In the Proceedings of the
conference: "Approximation Theory, Spline Functions and
Applications", S. P. Singh, ed, Kluwer Academic Publishers,
Boston, 1992, pp. 1-18. MR 93b#41025.
-
E.W. Cheney, Yuan Xu and W. A. Light, "Constructive methods of
approximation by ridge functions and radial functions", preprint
July 24, 1991. Journal of Numerical Algorithms 4 (1993), 205-223.
MR 94f#41037.
-
E.W. Cheney and Yuan Xu, "A set of research problems in approximation
theory", in "Topics in Polynomials of One and Several
Variables and their Applications", edited by T. M Rassias, H. M.
Srivastava, and A. Yanushauskas, World Scientific Publ., London, 1993,
pp. 109-123. MR 95c#41001.
-
E.W. Cheney, Yuan Xu and W. A. Light,
"On kernels and approximation
orders", in the proceedings of the Sixth South Eastern Approximation
Theory Conference: "Approximation Theory", George Anastassiou, ed.,
Marcel Dekker, Inc., Basel, 1992, pp. 227-242. MR 93d#41020.
-
J. Levesley, Yuan Xu, W. Light, and E.W. Cheney,
"Convolution
operators for radial basis approximation".
SIAM J. Math. Analysis, 27 (1996), 286-304. MR 96k#41028.
(Also,
Report CNA-239,
Center for Numerical Analysis,
University of Texas at Austin, July 1993.)
-
E.W. Cheney and Junjiang Lei,
"Quasi-interpolation on irregular
points", in "Approximation and Computation: A Festschrift in Honor
of Walter Gautschi", International Series of Numerical Mathematics,
Vol. 119, Birkhä user Verlag, Basel, 1995, 121-135. MR 96f#41028
-
E.W. Cheney,
"Quasi-interpolation", in "Approximation Theory, Wavelets,
and Applications", S.P.Singh, A.Carbone, and B.Watson, eds., Kluwer
Publ. Co., Dordrecht, 1995, 37-45. MR 96e#41001
-
E.W. Cheney,
"Approximation and interpolation on spheres", in
"Approximation Theory, Wavelets and Applications", S.P.Singh,
A. Carbone, and B. Watson (eds.), Kluwer Publ.
Co., Dordrecht, 1995, 47-53. MR 96e#41002
-
E.W. Cheney and Xingping Sun,
"Fundamental sets of continuous functions
on spheres", Constructive Approximation 13 (1997), 245-250.
MR 98a#41049.
-
E.W. Cheney, R.Q. Jia, and Junjiang Lei,
"Approximation from
shift-invariant spaces by integral operators". SIAM J. Math.
Analysis, 28 (1997), 481-498. MR 98h#41026
-
E.W. Cheney,
"Approximation using positive definite functions", in
"Approximation Theory VIII", ed. by C.K. Chui and L.L. Schumaker,
World Scientific, Singapore, 1996, 145-168. MR 98e#41036.
-
E.W. Cheney and X. Sun,
"Interpolation on spheres by positive definite
functions", in "Approximation Theory: In Memory of A.K. Varma",
edited by R.N. Mohapatra, Z. Nashed, A. Sharma, and J. Szabados.
Marcel Dekker Inc., New York, 1998. 141-156.
-
E.W. Cheney and J. Levesley,
"In Memoriam: William Allan Light".
J. Approx. Theory, 123 (2003), 1-12.
-
Debao Chen and E.W. Cheney,
"Lagrange Polynomial Interpolation".
In Proceedings of the 10th (?) Approximation
Theory Conference,
edited by L. Schumaker and Mike Neamtu, 2008.
|