The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials

We introduce the Szász and Chlodowsky operators based on Gould-Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis. Further, a Voronovskaja type result is obtained for the operators containing Gould-Hopper polynomials. F...

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Main Authors: Behar Baxhaku, Artan Berisha
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2017/4013958
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author Behar Baxhaku
Artan Berisha
author_facet Behar Baxhaku
Artan Berisha
author_sort Behar Baxhaku
collection DOAJ
description We introduce the Szász and Chlodowsky operators based on Gould-Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis. Further, a Voronovskaja type result is obtained for the operators containing Gould-Hopper polynomials. Finally, some graphical examples for the convergence of this type of operator are given.
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publishDate 2017-01-01
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spelling doaj-art-4a382d4c277b4fbe8845264e98573fe52025-08-20T02:38:05ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/40139584013958The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type PolynomialsBehar Baxhaku0Artan Berisha1Department of Mathematics, University of Prishtina, Mother Teresa, 10000 Prishtina, KosovoDepartment of Mathematics, University of Prishtina, Mother Teresa, 10000 Prishtina, KosovoWe introduce the Szász and Chlodowsky operators based on Gould-Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis. Further, a Voronovskaja type result is obtained for the operators containing Gould-Hopper polynomials. Finally, some graphical examples for the convergence of this type of operator are given.http://dx.doi.org/10.1155/2017/4013958
spellingShingle Behar Baxhaku
Artan Berisha
The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
Abstract and Applied Analysis
title The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
title_full The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
title_fullStr The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
title_full_unstemmed The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
title_short The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
title_sort approximation szasz chlodowsky type operators involving gould hopper type polynomials
url http://dx.doi.org/10.1155/2017/4013958
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