Chebyshev approximation by exponentials on finite subsets-Reference-Cited by-同舟云学术

Chebyshev approximation by exponentials on finite subsets

Published:1973 Issue:122 Volume:27 Page:327-331
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Braess Dietrich

Abstract

This paper is concerned with Chebyshev approximation by exponentials on finite subsets. We take into account that varisolvency does not hold for exponentials in general. A bound for the derivatives of exponentials is established and convergence of the solutions for the discrete problems is proved in the topology of compact convergence on the open interval.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1973-27-122/S0025-5718-1973-0330854-0/S0025-5718-1973-0330854-0.pdf

Reference12 articles.

1. Approximation mit Exponentialsummen;Braess, D.;Computing (Arch. Elektron. Rechnen),1967

2. Die Konstruktion der Tschebyscheff-Approximierenden bei der Anpassung mit Exponentialsummen;Braess, D.;J. Approximation Theory,1970

3. D. Braess, "Chebyshev approximation by 𝛾-polynomials," J. Approximation Theory. (To appear.)

4. On a paper of C. B. Dunham concerning degeneracy in mean nonlinear approximation;Braess, Dietrich;J. Approximation Theory,1973

5. Approximation from a curve of functions;Hobby, C. R.;Arch. Rational Mech. Anal.,1967

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On discretization errors in nonlinear approximation problems;Journal of Approximation Theory;1987-03

2. Approximation by exponential sums on discrete and continuous domains;Journal of Approximation Theory;1979-01

3. On a paper of C. B. Dunham concerning degeneracy in mean nonlinear approximation;Journal of Approximation Theory;1973-12