Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space
type: Item
instance of: scholarly article
title: Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space
zbMATH Open document ID: 1477.41006
DOI: 10.1134/S0001434621070269
author: N. U. Kadamshoev
author: Mirgand Shabozovich Shabozov
published in: Mathematical Notes
publication date: 2021-08-25T00:00:00Z
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 7384987
zbMATH Keywords: sharp inequalities
zbMATH Keywords: best joint approximation
zbMATH Keywords: smoothness characteristics
zbMATH Keywords: exact constants
zbMATH Keywords: \(n\)-widths
MaRDI profile type: Publication
Wikidata QID: Q114075410
cites work: Q5804330
cites work: The geometry of maximum principle
cites work: DIRECT AND CONVERSE THEOREMS OF JACKSON TYPE IN $ L^p$ SPACES, $ 0<p<1$
cites work: Jackson's theorem in the space \(L^p(R^k),\;0<p<1\)
cites work: Direct and converse theorems of the theory of approximation in the metric of \(L_p\) for \(0<p<1\)
cites work: Q5511094
cites work: Precise constant in Jackson's inequality for continuous periodic functions
cites work: Best approximation of periodic functions by trigonometric polinomials in \(L_ 2\)
cites work: Exact constants of approximation for differentiable periodic functions
cites work: Jackson's theorem in \(L_{p}\)
cites work: Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths
cites work: Inequalities between best polynomial approximations and some smoothness characteristics in the space \(L_2\) and widths of classes of functions
cites work: Q5549176
cites work: Sharp estimates for the convergence rate of Fourier series of complex variable functions in L 2(D, p(z))
cites work: Upper bounds for the approximation of certain classes of functions of a complex variable by Fourier series in the space \(L_2\) and \(n\)-widths
cites work: Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space
cites work: Q4863171
cites work: Q3344608
full work available at URL: s0001434621070269
OpenAlex ID: W3194648214
description: scientific article; zbMATH DE number 7384987