{"title":"A note on q-MKZ operators using generating functions","authors":"Honey Sharma, Ramapati Maurya","doi":"10.7153/JCA-2020-17-11","DOIUrl":null,"url":null,"abstract":"This paper is based on new generalization of q -analogue of the MKZ type operators using generating functions. We study approximation properties of the proposed operator using Korovkin type theorem. Further, we estimate the rate of convergence of these operators by using the modulus of continuity. In the last, we introduce and establish the uniform convergence of 2D -generalization of the q -MKZ operators using generating functions.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":"177-187"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/JCA-2020-17-11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper is based on new generalization of q -analogue of the MKZ type operators using generating functions. We study approximation properties of the proposed operator using Korovkin type theorem. Further, we estimate the rate of convergence of these operators by using the modulus of continuity. In the last, we introduce and establish the uniform convergence of 2D -generalization of the q -MKZ operators using generating functions.