{"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":46188,"journal":{"name":"Kyungpook Mathematical Journal","volume":"56 1","pages":"877-897"},"PeriodicalIF":0.2000,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyungpook Mathematical Journal","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":"Q3","JCRName":"MATHEMATICS","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.
期刊介绍：
Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.
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