Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\)
type: Item
instance of: scholarly article
title: Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\)
zbMATH Open document ID: 1490.42004
published in: Ukrainian Mathematical Journal
publication date: 2019-02-27T00:00:00Z
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 7030315
zbMATH Keywords: asymptotic equalities
zbMATH Keywords: least upper bounds
zbMATH Keywords: approximations of functions
zbMATH Keywords: biharmonic Poisson integrals
author: I. V. Kal'chuk
author: Yu. I. Kharkevich
MaRDI profile type: Publication
full work available at URL: s11253-017-1323-9
OpenAlex ID: W2611114974
cites work: Q5807063
cites work: Q4434221
cites work: Q5561346
cites work: On a biharmonic function in the unit disc
cites work: On the approximation of functions of the Hölder class by biharmonic Poisson integrals
cites work: Q4791986
cites work: Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
cites work: Approximation of conjugate differentiable functions by biharmonic Poisson integrals
cites work: Q5342639
cites work: Q5556722
cites work: Precise inequalities for the oscillations of harmonic and biharmonic functions in a circle
cites work: Über das Randverhalten des POISSON‐Integrals der polyharmonischen Gleichung
cites work: Tangential limit values of a biharmonic poisson integral in a disk
cites work: Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals
cites work: Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals
cites work: Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
DOI: 10.1007/S11253-017-1323-9
description: scientific article; zbMATH DE number 7030315