Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials

Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials

Abstract In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces. Moreover, for the functions of bounded variation, approximation results are...

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Main Authors: K. J. Ansari, M. Mursaleen, M. Shareef KP, M. Ghouse
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Szász operator
Charlier polynomials
Modulus of continuity
Rate of convergence
Online Access:http://link.springer.com/article/10.1186/s13662-020-02645-6
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spelling doaj-06c1d051f73e4c6d8fda39318fe3b6e22020-11-25T03:35:56ZengSpringerOpenAdvances in Difference Equations1687-18472020-05-012020112310.1186/s13662-020-02645-6Approximation by modified Kantorovich–Szász type operators involving Charlier polynomialsK. J. Ansari0M. Mursaleen1M. Shareef KP2M. Ghouse3Department of Mathematics, College of Science, King Khalid UniversityDepartment of Medical Research, China Medical University Hospital, China Medical University (Taiwan)Department of IT, Ibra College of TechnologyDepartment of Computer Science, College of Computer Science, King Khalid University, GregorAbstract In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces. Moreover, for the functions of bounded variation, approximation results are proved. Finally, some graphical examples are provided to show comparisons of convergence between old and modified operators towards a function under different parameters and conditions.http://link.springer.com/article/10.1186/s13662-020-02645-6Szász operatorCharlier polynomialsModulus of continuityRate of convergence
collection DOAJ
language English
format Article
sources DOAJ
author K. J. Ansari
M. Mursaleen
M. Shareef KP
M. Ghouse
spellingShingle K. J. Ansari
M. Mursaleen
M. Shareef KP
M. Ghouse
Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
Advances in Difference Equations
Szász operator
Charlier polynomials
Modulus of continuity
Rate of convergence
author_facet K. J. Ansari
M. Mursaleen
M. Shareef KP
M. Ghouse
author_sort K. J. Ansari
title Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
title_short Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
title_full Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
title_fullStr Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
title_full_unstemmed Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
title_sort approximation by modified kantorovich–szász type operators involving charlier polynomials
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-05-01
description Abstract In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces. Moreover, for the functions of bounded variation, approximation results are proved. Finally, some graphical examples are provided to show comparisons of convergence between old and modified operators towards a function under different parameters and conditions.
topic Szász operator
Charlier polynomials
Modulus of continuity
Rate of convergence
url http://link.springer.com/article/10.1186/s13662-020-02645-6
work_keys_str_mv AT kjansari approximationbymodifiedkantorovichszasztypeoperatorsinvolvingcharlierpolynomials
AT mmursaleen approximationbymodifiedkantorovichszasztypeoperatorsinvolvingcharlierpolynomials
AT mshareefkp approximationbymodifiedkantorovichszasztypeoperatorsinvolvingcharlierpolynomials
AT mghouse approximationbymodifiedkantorovichszasztypeoperatorsinvolvingcharlierpolynomials
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