{"title":"Approximation by Generalised Szász-type Operators based on Appell Polynomials","authors":"Ajay Kumar","doi":"10.1007/s40995-024-01703-y","DOIUrl":null,"url":null,"abstract":"<div><p>This paper introduces a novel extension of Szász–Kantorovich-type operators based on Appell polynomials and explores their convergence characteristics employing Korovkin’s theorem. The study delves into the rate of convergence using both classical and second-order modulus of continuity, Voronovskaja type theorem, and weighted approximation outcomes.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 1","pages":"181 - 189"},"PeriodicalIF":1.4000,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01703-y","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduces a novel extension of Szász–Kantorovich-type operators based on Appell polynomials and explores their convergence characteristics employing Korovkin’s theorem. The study delves into the rate of convergence using both classical and second-order modulus of continuity, Voronovskaja type theorem, and weighted approximation outcomes.
期刊介绍：
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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