{"title":"Approximation Properties of Kantorovich Type Modifications of $(p, q)-$Meyer-König-Zeller Operators","authors":"Ramapati Maurya, Honey Sharma, Cheeena Gupta","doi":"10.33205/CMA.436071","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce Kantorovich type modification of $(p, q)$-Meyer-K o nig-Zeller operators. We estimate rate of convergence of proposed operators using modulus of continuity and Lipschitz class functions. Further, we obtain the statistical convergence and local approximation results for these operators. In the last section, we estimate the rate of convergence of $(p, q)$-Meyer-K o nig-Zeller Kantorovich operators by means of Matlab programming.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2018-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Constructive Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33205/CMA.436071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 15
Abstract
In this paper, we introduce Kantorovich type modification of $(p, q)$-Meyer-K o nig-Zeller operators. We estimate rate of convergence of proposed operators using modulus of continuity and Lipschitz class functions. Further, we obtain the statistical convergence and local approximation results for these operators. In the last section, we estimate the rate of convergence of $(p, q)$-Meyer-K o nig-Zeller Kantorovich operators by means of Matlab programming.
本文介绍了$（p，q）$-Meyer-K o nig-Zeller算子的Kantorovich型修改。我们使用连续模和Lipschitz类函数来估计所提出的算子的收敛速度。此外，我们还得到了这些算子的统计收敛性和局部逼近结果。在最后一节中，我们通过Matlab编程估计了$（p，q）$-Meyer-K o nig-Zeller-Kantorovich算子的收敛速度。
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