A theorem of A. F. Timan on the approximation of functions by polynomials on a finite segment-Reference-Cited by-同舟云学术

A theorem of A. F. Timan on the approximation of functions by polynomials on a finite segment

Published:1967-02 Issue:2 Volume:1 Page:110-116
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Gopengauz I. E.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01268059.pdf

Reference5 articles.

1. A. F. Timan, An extension of Jackson's theorem on the best approximation of continuous functions by polynomials on a finite segment of the real axis [in Russian], Doklady Akad. Nauk SSSR,78, 17?20 (1951).

2. V. K. Dzyadyk, The constructive characteristic of functions which satisfy the condition Lip ?(0 < ? <) on a finite segment of the real axis [in Russian], Izvest. Akad. Nauk SSSR, Ser. matem.,20, 623?642 (1956).

3. A. F. Timan, Converse theorems on the constructive theory of functions given on a finite segment of the real axis [in Russian], Doklady Akad. Nauk SSSR,116, 762?765 (1957).

4. Yu. A. Brudnyi, Approximation by integral functions on the exterior of a segment and on a semiaxis [in Russian], Doklady Akad. Nauk SSSR,124, 739?742 (1959).

5. R. M. Trigub, Approximation of functions by polynomials with integral coefficients [in Russian], Izvest. Akad. Nauk SSSR, Ser. matem.,26, 261?280 (1962).

Cited by 28 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. Rational Approximation on Exponential Meshes;Symmetry;2020-12-04

2. Sobolev-orthogonal systems of functions and some of their applications;Russian Mathematical Surveys;2019-08-01

3. Rational Operators Based on q-Integers;Results in Mathematics;2017-04-28

4. Numerical evaluation of certain strongly singular integrals;IMA Journal of Numerical Analysis;2013-06-30

5. On an interpolation process of Lagrange-Hermite type;Publications de l'Institut Math?matique (Belgrade);2012