{"title":"Szasz-Kantorovich Type Operators Based on Charlier Polynomials","authors":"Arun Kajla, P. Agrawal","doi":"10.5666/KMJ.2016.56.3.877","DOIUrl":null,"url":null,"abstract":". In the present article, we study some approximation properties of the Kantorovich type generalization of Sz´asz type operators involving Charlier polynomials introduced by S. Varma and F. Ta¸sdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and A -statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5666/KMJ.2016.56.3.877","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 19
Abstract
. In the present article, we study some approximation properties of the Kantorovich type generalization of Sz´asz type operators involving Charlier polynomials introduced by S. Varma and F. Ta¸sdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and A -statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.
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