Modulus of smoothness and theorems concerning approximation in the space \(L^2_{q,\alpha}(\mathbb{R}_q)\) with power weight
type: Item
instance of: scholarly article
title: Modulus of smoothness and theorems concerning approximation in the space \(L^2_{q,\alpha}(\mathbb{R}_q)\) with power weight
zbMATH Open document ID: 1467.41009
author: Radouan Daher
author: Othman Tyr
published in: Mediterranean Journal of Mathematics
publication date: 2021-05-03T00:00:00Z
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 44A20
zbMATH DE Number: 7342062
zbMATH Keywords: \(q\)-Dunkl operator
zbMATH Keywords: \(q\)-Dunkl transform
zbMATH Keywords: generalized \(q\)-Dunkl translation
zbMATH Keywords: Jackson's theorems
zbMATH Keywords: K-functional
zbMATH Keywords: modulus of smoothness
MaRDI profile type: Publication
full work available at URL: s00009-021-01715-7
OpenAlex ID: W3134323977
cites work: Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
cites work: $q$-Analogue of the Dunkl transform on the real line
cites work: Q3876378
cites work: Q5265476
cites work: An analog of Titchmarsh's theorem for the q-Dunkl transform in the space \(L_{q,\alpha }^2({\mathbb{R}}_q)\)
cites work: Q3817079
cites work: Some problems of approximation theory in the spaces \(L_p\) on the line with power weight
cites work: Q5669012
cites work: Approximation theorems connected with generalized translations
cites work: Q5791310
cites work: Q3961321
cites work: Fourier-Jacobi harmonic analysis and approximation of functions
cites work: Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Jackson's type direct theorems
cites work: A \(q^ 2\)-analogue operator for \(q^ 2\)-analogue Fourier analysis
cites work: Duhamel solutions of non-homogeneous $q^2$-analogue wave equations
DOI: 10.1007/S00009-021-01715-7
description: scientific article; zbMATH DE number 7342062