Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space L2(ℝ). I-Reference-Cited by-同舟云学术

Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space L2(ℝ). I

Published:2019-02 Issue:9 Volume:70 Page:1345-1374
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/s11253-019-01585-z.pdf

Reference60 articles.

1. S. N. Bernstein, “On the best approximation of continuous functions on the entire real axis via entire functions of a given power (1912),” in: Collection of Works [in Russian], Vol. 2, Akad. Nauk SSSR, Moscow (1952), pp. 371–375.

2. N. I. Akhiezer, Lectures on Approximation Theory [in Russian], Gostekhizdat, Moscow (1947).

3. A. F. Timan, Approximation Theory of Functions of Real Variable [in Russian], Fizmatgiz, Moscow (1960).

4. M. F. Timan, “Approximation of functions given on the entire real axis by entire functions of exponential type,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 2, 89–101 (1968).

5. S. M. Nikol’skii, Approximation of Functions of Many Variables and Embedding Theorems [in Russian], Nauka, Moscow (1977).

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1. Approximation in the Mean for the Classes Of Functions in the Space L2[(0, 1); x] by The Fourier–Bessel Sums And Estimation of the Values of Their n-Widths;Ukrainian Mathematical Journal;2024-07

2. Наближення в середньому сумами Фур'є–Бесселя класів функцій у просторі L 2 [ ( 0,1 ) ; x ] та оцінки значень їх n -поперечників;Ukrains’kyi Matematychnyi Zhurnal;2024-02-28

3. On the estimates of the values of various widths of classes of functions of two variables in the weight space L2,γ (ℝ2), γ = exp(− x2− y2);Journal of Mathematical Sciences;2020-05-25

4. On the estimates of the values of various widths of classes of functions of two variables in the weight space $L_{2,\gamma}(\mathbb{R}^2)$, $\gamma=\exp(-x^2-y^2)$;Ukrainian Mathematical Bulletin;2020-03-31

5. Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space L2(ℝ). II;Ukrainian Mathematical Journal;2019-03