Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces
type: Item
instance of: scholarly article
title: Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces
zbMATH Open document ID: 1488.41035
author: Bai-Ni Guo
author: Lingxiong Han
published in: Analysis Mathematica
publication date: 2021-09-09T00:00:00Z
review text: Several authors have studied properties of the Bézier type operator in \(\mathbb{C}(I)\) and \(L_p\). Some of them studied neural network operators in Orlicz spaces, but there is no result about the Száz-Durrmeyer-Bézier operator with the Jacobi weight function. In this paper, the authors study approximation properties for the Jacobi weighted Száz-Durrmeyer-Bézier operators.
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 41A27
zbMATH DE Number: 7393070
zbMATH Keywords: direct theorem
zbMATH Keywords: inverse theorem
zbMATH Keywords: equivalence theorem
zbMATH Keywords: approximation
zbMATH Keywords: \(K\)-functional
zbMATH Keywords: Orlicz space
zbMATH Keywords: Jacobi weight
zbMATH Keywords: Szász-Durrmeyer-Bézier operator
Wikidata QID: Q113904559
reviewed by: Antonio López-Carmona
MaRDI profile type: Publication
full work available at URL: s10476-021-0084-8
OpenAlex ID: W3162791707
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DOI: 10.1007/S10476-021-0084-8
description: scientific article; zbMATH DE number 7393070