A Kantorovich type of Szasz operators including Brenke-type polynomials
type: Item
instance of: scholarly article
title: A Kantorovich type of Szasz operators including Brenke-type polynomials
zbMATH Open document ID: 1312.41031
DOI: 10.1155/2012/867203
author: Fatma Taşdelen
author: Rabïa Aktaş
author: Abdullah Altın
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's \(K\)-functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials.
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 6134181
Wikidata QID: Q58696996
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/867203
OpenAlex ID: W2116465359
cites work: Q5582426
cites work: Q4165715
cites work: Generalization of Szasz operators involving Brenke type polynomials
cites work: Q4170993
cites work: On the Extensions of Bernstein Polynomials to the Infinite Interval
cites work: Q3183316
cites work: Q3010495
cites work: Q3590307
cites work: Approximation by Szasz-Mirakjan-Kantorovich operators in \(L^p\) \((p>1)\)
cites work: Q4905154
cites work: Szász type operators involving Charlier polynomials
cites work: Q4805433
cites work: Korovkin-type approximation theory and its applications
cites work: Q3817079
cites work: Operational formulas connected with two generalizations of Hermite polynomials
cites work: The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
description: scientific article; zbMATH DE number 6134181