On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximation by entire functions of the exponential type on the entire real axis
type: Item
instance of: scholarly article
title: On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximation by entire functions of the exponential type on the entire real axis
zbMATH Open document ID: 1499.41038
author: Xianqiang Yang
published in: Ukrainian Mathematical Journal
publication date: 2019-02-27T00:00:00Z
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 7030475
zbMATH Keywords: exact Jackson-type inequalities
zbMATH Keywords: modules of continuity of fractional order
MaRDI profile type: Publication
full work available at URL: s11253-017-1389-4
OpenAlex ID: W2736296330
Wikidata QID: Q115602771
cites work: Q4064224
cites work: Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
cites work: Q4122344
cites work: Q3682962
cites work: Q3333508
cites work: Q4726814
cites work: Q3934917
cites work: Q3726701
cites work: Q4726489
cites work: An introduction to fractional calculus
cites work: Q5657946
cites work: Q4100914
cites work: Q3913228
cites work: Q3765777
cites work: Q5787627
cites work: Q3961321
cites work: Q5630131
cites work: Classes of functions defined on the real line and their approximation by entire functions. I
cites work: Classes of functions defined on the real axis and their approximations by entire functions. II
cites work: Exact constants in Jackson-type inequalities for L 2-approximation on an axis
cites work: Q5469263
cites work: On some extremal problems of approximation theory of functions on the real axis. I
cites work: Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
cites work: Jackson-type inequalities for the special moduli of continuity on the entire real axis and the exact values of mean \(\nu\)-widths for the classes of functions in the space \(L_2(\mathbb R)\)
cites work: Best mean-square approximations by entire functions of exponential type and mean \(\nu\)-widths of classes of functions on the line
cites work: On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes
cites work: Q4695809
cites work: Q4112390
cites work: Q3916948
cites work: On some extremal problems of approximation theory of functions on the real axis. II
DOI: 10.1007/S11253-017-1389-4
description: scientific article; zbMATH DE number 7030475