Asymptotic estimates for the widths of classes of functions of high smothness

We find two-sided estimates for Kolmogorov, Bernstein, linear and projection widths of the classes of convolutions of $2\pi$-periodic functions $\varphi$, such that $\|\varphi\|_2\le1$, with fixed generated kernels $\Psi_{\bar{\beta}}$, which have Fourier series of the form $$\sum\limits_{k=1}^\inft...

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Bibliographic Details
Main Authors: A.S. Serdyuk, I.V. Sokolenko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2023-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/6705