Direct and converse theorems of the theory of approximation in the metric of Lp for 0 < p

Direct and converse theorems of the theory of approximation in the metric of Lp for 0 < p < 1

Published:1975-11 Issue:5 Volume:18 Page:972-982
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:

Ivanov V. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01153563.pdf

Reference14 articles.

1. D. Jackson, ?Über Genauigkeit der Annäherung Stetiger Funktionen durch Ganze Rationale Funktionen gegebenen Grades und Trigonometrische Summen gegebener Ordnung, Dissertation, Göttingen (1911).

2. D. Jackson, ?On approximations by trigonometrical sums and polynomials,? Proc. Amer. Math. Soc,13, 491?515 (1912).

3. E. S. Quade, ?Trigonometric approximation in the mean,? Duke J.,3, 529?543 (1937).

4. N. I. Akhiezer, Lectures on the Theory of Approximation [in Russian], Nauka, Moscow (1965).

5. A. F. Timan and M. F. Timan, ?A generalized modulus of continuity and the best approximation in the mean,? Dokl. Akad. Nauk SSSR,71, No. 1, 17?20 (1950).

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