Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L 2. I-Reference-Cited by-同舟云学术

Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L 2. I

Published:2016-11 Issue:6 Volume:68 Page:823-848
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Vakarchuk S. B.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-016-1260-z.pdf

Reference46 articles.

1. D. Jackson, Uber die Genauigkeit des Annaherung Stetigen Funktionen Durch Ganze Rationale Funktionen Gegebenen Grades und Trigonometrischen Summen Gegebener Ordnung, Dissertation, Göttingen (1911).

2. D. Jackson, “Some note of trigonometric interpolation,” Amer. Math. Mon., 34, 401–405 (1927).

3. S. B. Stechkin, “On the order of the best approximations of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat., 15, No. 3, 219–242 (1951).

4. V. I. Ivanov and O. I. Smirnov, Jackson and Young Constants in the Space L p [in Russian], Tula University, Tula (1995).

5. N. P. Korneichuk, “Exact constant in the Jackson theorem on the best uniform approximation of continuous periodic functions,” Dokl. Akad. Nauk SSSR, 145, No. 3, 514–515 (1962).

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