{"title":"Chlodowsky Type (λ, q)-Bernstein Stancu Operator of Korovkin-Type Approximation Theorem of Rough I-Core of Triple Sequences","authors":"A. Esi, S. Nagarajan, Kemal Ozdemir","doi":"10.3844/jmssp.2022.71.77","DOIUrl":null,"url":null,"abstract":": In this study, we obtain a Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -convergent of triple sequences of positive linear operators of two variables from H w ( K ) to C w ( K ). We introduce and study some basic properties of Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -convergent of triple sequence spaces and also study the set of all Korovkin-type approximation theorem for Chlodowsky type ( λ, q )− Bernstein Stancu operator of rough I -limits of triple sequence spaces and the relation between analyticness and Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -core of triple sequence spaces.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"100 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jordan Journal of Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3844/jmssp.2022.71.77","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
: In this study, we obtain a Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -convergent of triple sequences of positive linear operators of two variables from H w ( K ) to C w ( K ). We introduce and study some basic properties of Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -convergent of triple sequence spaces and also study the set of all Korovkin-type approximation theorem for Chlodowsky type ( λ, q )− Bernstein Stancu operator of rough I -limits of triple sequence spaces and the relation between analyticness and Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -core of triple sequence spaces.