Approximation properties of a family of integral type operators
type: Item
instance of: scholarly article
title: Approximation properties of a family of integral type operators
zbMATH Open document ID: 1466.41009
author: Octavian Agratini
published in: Positivity
publication date: 2021-05-07T00:00:00Z
review text: Some new classes of positive operators depending on some real parameters and their main approximation properties related to real-valued functions are considered. These operators generalize the well-known Durrmeger-Iain, Păltănea-Szász-Mirakjan, Baskskov-Szász operators. For continuous and bounded functions defined on an unbounded interval the rate of convergence in terms of the modulus of smoothness is established. The main working tools are Bohman-Korovkin theorem, weghted \(K\) functional and moduli of smoothness.
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 7345605
zbMATH Keywords: positive linear operator
zbMATH Keywords: weighted \(K\)-functional
zbMATH Keywords: modulus of smoothness
zbMATH Keywords: Durrmeyer-Jain operator
reviewed by: D. K. Ugulava
MaRDI profile type: Publication
full work available at URL: s11117-020-00752-y
OpenAlex ID: W3015007520
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DOI: 10.1007/S11117-020-00752-Y
description: scientific article; zbMATH DE number 7345605