{"title":"APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PALTANEA OPERATORS","authors":"Alok Kumar, Vandana Rai","doi":"10.26837/JAEM.556533","DOIUrl":null,"url":null,"abstract":"The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPǎltǎnea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modification of these operators to obtain better estimates.","PeriodicalId":44094,"journal":{"name":"TWMS Journal of Applied and Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"TWMS Journal of Applied and Engineering Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26837/JAEM.556533","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPǎltǎnea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modification of these operators to obtain better estimates.
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