{"title":"借助一类新的阿佩尔多项式对szász算子的推广","authors":"Gürhan İÇÖZ, Zehra Tat","doi":"10.3934/mfc.2023038","DOIUrl":null,"url":null,"abstract":"In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A generalization of szász operators with the help of new kind Appell polynomials\",\"authors\":\"Gürhan İÇÖZ, Zehra Tat\",\"doi\":\"10.3934/mfc.2023038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.\",\"PeriodicalId\":93334,\"journal\":{\"name\":\"Mathematical foundations of computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical foundations of computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/mfc.2023038\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical foundations of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/mfc.2023038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
A generalization of szász operators with the help of new kind Appell polynomials
In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.