一类与Charlier多项式相关的Kantorovich型算子的近似性质

Kerem Gezer, Mine MENEKŞE YILMAZ
{"title":"一类与Charlier多项式相关的Kantorovich型算子的近似性质","authors":"Kerem Gezer, Mine MENEKŞE YILMAZ","doi":"10.53433/yyufbed.1187512","DOIUrl":null,"url":null,"abstract":"In this study, we investigate some approximation properties of a class of the Kantorovich type operators including Charlier polynomials studied in Varma & Taşdelen (2012). We examine the order of convergence of the operators with the aid of some mathematical tools such as the usual modulus of continuity and the concept of K-functional, and derive an asymptotic formula using the Voronovskaja type approximation theorem.","PeriodicalId":386555,"journal":{"name":"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials\",\"authors\":\"Kerem Gezer, Mine MENEKŞE YILMAZ\",\"doi\":\"10.53433/yyufbed.1187512\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we investigate some approximation properties of a class of the Kantorovich type operators including Charlier polynomials studied in Varma & Taşdelen (2012). We examine the order of convergence of the operators with the aid of some mathematical tools such as the usual modulus of continuity and the concept of K-functional, and derive an asymptotic formula using the Voronovskaja type approximation theorem.\",\"PeriodicalId\":386555,\"journal\":{\"name\":\"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53433/yyufbed.1187512\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53433/yyufbed.1187512","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

在本研究中,我们研究了一类Kantorovich型算子的一些近似性质,包括Varma & ta delen(2012)研究的Charlier多项式。利用常用的连续模和k泛函的概念等数学工具研究了算子的收敛阶,并利用Voronovskaja型近似定理导出了一个渐近公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials
In this study, we investigate some approximation properties of a class of the Kantorovich type operators including Charlier polynomials studied in Varma & Taşdelen (2012). We examine the order of convergence of the operators with the aid of some mathematical tools such as the usual modulus of continuity and the concept of K-functional, and derive an asymptotic formula using the Voronovskaja type approximation theorem.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信