{"title":"包括广义布伦克多项式的康托洛维奇-斯坦库型算子","authors":"Gürhan Içöz, Shamsullah Zaland","doi":"10.54287/gujsa.1386488","DOIUrl":null,"url":null,"abstract":"This article is concerned with the sequence of operators of Stancu’s-type, involving extended Brenke polynomials. We apply Korovkin’s theorem to the sequence of positive linear operators, discuss the uniform approximation of continuous functions on closed bounded intervals by known tools theory, and also consider the second modulus of continuity, Peetre’s K-functional and Lipschitz class, which are essential concepts in approximation theory.","PeriodicalId":134301,"journal":{"name":"Gazi University Journal of Science Part A: Engineering and Innovation","volume":"72 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials\",\"authors\":\"Gürhan Içöz, Shamsullah Zaland\",\"doi\":\"10.54287/gujsa.1386488\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is concerned with the sequence of operators of Stancu’s-type, involving extended Brenke polynomials. We apply Korovkin’s theorem to the sequence of positive linear operators, discuss the uniform approximation of continuous functions on closed bounded intervals by known tools theory, and also consider the second modulus of continuity, Peetre’s K-functional and Lipschitz class, which are essential concepts in approximation theory.\",\"PeriodicalId\":134301,\"journal\":{\"name\":\"Gazi University Journal of Science Part A: Engineering and Innovation\",\"volume\":\"72 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-27\",\"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.1386488\",\"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.1386488","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文关注斯坦库型算子序列，涉及扩展布伦克多项式。我们将柯罗夫金定理应用于正线性算子序列，用已知工具理论讨论闭合有界区间上连续函数的均匀逼近，还考虑了连续性第二模、Peetre 的 K 函数和 Lipschitz 类，这些都是逼近理论中的基本概念。
Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials
This article is concerned with the sequence of operators of Stancu’s-type, involving extended Brenke polynomials. We apply Korovkin’s theorem to the sequence of positive linear operators, discuss the uniform approximation of continuous functions on closed bounded intervals by known tools theory, and also consider the second modulus of continuity, Peetre’s K-functional and Lipschitz class, which are essential concepts in approximation theory.
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