Inverse approximation theorems in the spaces \(S^{(p,q)}(\sigma^{m-1})\)
type: Item
instance of: scholarly article
title: Inverse approximation theorems in the spaces \(S^{(p,q)}(\sigma^{m-1})\)
zbMATH Open document ID: 1478.41003
DOI: 10.1134/S0001434621070087
author: R. A. Lasuriya
published in: Mathematical Notes
publication date: 2021-08-25T00:00:00Z
Mathematics Subject Classification ID: 41A27
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 7384969
zbMATH Keywords: Fourier-Laplace series
zbMATH Keywords: best approximations
zbMATH Keywords: convolution
zbMATH Keywords: \(\psi\)-derivative
Wikidata QID: Q113786473
MaRDI profile type: Publication
cites work: Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q)(σm)
cites work: Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\)
cites work: Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\)
cites work: Approximation of functions on the sphere by linear methods
cites work: Q4434221
cites work: Q5487435
cites work: Q5607484
cites work: Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
cites work: Q5640160
cites work: Q5521058
cites work: On the behavior of special classes of ultraspherical expansions. I, II
cites work: On Jackson-Type Inequalities for Functions Defined on a Sphere
cites work: Q5804330
cites work: Q5524568
cites work: Q5677966
cites work: Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
cites work: Lipschitz spaces on compact manifolds
cites work: Q3736265
cites work: Approximation by spherical functions
cites work: APPROXIMATION OF FUNCTIONS ON THE SPHERE
cites work: Functional spaces on the sphere, related with approximation theory
cites work: A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere
cites work: Q3739606
cites work: Q3806110
full work available at URL: s0001434621070087
OpenAlex ID: W3193351473
description: scientific article; zbMATH DE number 7384969