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

Author:

Gopengauz I. E.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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).

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