{"title":"涉及负阶Genocchi多项式的Kantorovich型Szász算子的收敛性","authors":"Erkan Ağyüz","doi":"10.54287/gujsa.1282992","DOIUrl":null,"url":null,"abstract":"The goal of this research is to construct a generalization of a Kantorovich type of Szász operators involving negative-order Genocchi polynomials. With the aid of Korovkin’s theorem, modulus of continuity, Lipschitz class, and Peetre’s K-functional the approximation properties and convergence rate of these operators are established. To illustrate how operators converge to a certain function, we present some examples.","PeriodicalId":134301,"journal":{"name":"Gazi University Journal of Science Part A: Engineering and Innovation","volume":"132 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Convergence Properties of a Kantorovich Type of Szász Operators Involving Negative Order Genocchi Polynomials\",\"authors\":\"Erkan Ağyüz\",\"doi\":\"10.54287/gujsa.1282992\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The goal of this research is to construct a generalization of a Kantorovich type of Szász operators involving negative-order Genocchi polynomials. With the aid of Korovkin’s theorem, modulus of continuity, Lipschitz class, and Peetre’s K-functional the approximation properties and convergence rate of these operators are established. To illustrate how operators converge to a certain function, we present some examples.\",\"PeriodicalId\":134301,\"journal\":{\"name\":\"Gazi University Journal of Science Part A: Engineering and Innovation\",\"volume\":\"132 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gazi University Journal of Science Part A: Engineering and Innovation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54287/gujsa.1282992\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gazi University Journal of Science Part A: Engineering and Innovation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54287/gujsa.1282992","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Convergence Properties of a Kantorovich Type of Szász Operators Involving Negative Order Genocchi Polynomials
The goal of this research is to construct a generalization of a Kantorovich type of Szász operators involving negative-order Genocchi polynomials. With the aid of Korovkin’s theorem, modulus of continuity, Lipschitz class, and Peetre’s K-functional the approximation properties and convergence rate of these operators are established. To illustrate how operators converge to a certain function, we present some examples.