关于连接Bernoulli多项式的Durrmeyer型算子

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-04-17 DOI:10.1007/s40995-025-01815-z

Deepak Malik, Vijay Gupta

{"title":"关于连接Bernoulli多项式的Durrmeyer型算子","authors":"Deepak Malik, Vijay Gupta","doi":"10.1007/s40995-025-01815-z","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we capture a new Durrmeyer type operator, linking adjoint Bernoulli polynomials with the Baskakov basis functions. We estimate its moments and central moments and provide approximation results which include Korovkin-type estimate in weighted space. Additionally, we present a graphical interpretation of the operators applied to certain functions, quantitative Voronovskaja’s theorem in weighted space, and a theorem involving Peetre’s K-functional. Furthermore, we give theorems based on difference of operators.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 5","pages":"1403 - 1413"},"PeriodicalIF":1.4000,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Durrmeyer Type Operator Linking Bernoulli Polynomials\",\"authors\":\"Deepak Malik, Vijay Gupta\",\"doi\":\"10.1007/s40995-025-01815-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this article, we capture a new Durrmeyer type operator, linking adjoint Bernoulli polynomials with the Baskakov basis functions. We estimate its moments and central moments and provide approximation results which include Korovkin-type estimate in weighted space. Additionally, we present a graphical interpretation of the operators applied to certain functions, quantitative Voronovskaja’s theorem in weighted space, and a theorem involving Peetre’s K-functional. Furthermore, we give theorems based on difference of operators.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"49 5\",\"pages\":\"1403 - 1413\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-04-17\",\"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/s40995-025-01815-z\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-025-01815-z","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

摘要

在本文中，我们捕获了一个新的Durrmeyer型算子，将伴随伯努利多项式与Baskakov基函数联系起来。我们估计了它的矩和中心矩，并给出了加权空间中包含korovkin型估计的近似结果。此外，我们给出了应用于某些函数的算子的图形解释，加权空间中的定量Voronovskaja定理，以及涉及Peetre k泛函的定理。进一步给出了基于算子差分的定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On Durrmeyer Type Operator Linking Bernoulli Polynomials

In this article, we capture a new Durrmeyer type operator, linking adjoint Bernoulli polynomials with the Baskakov basis functions. We estimate its moments and central moments and provide approximation results which include Korovkin-type estimate in weighted space. Additionally, we present a graphical interpretation of the operators applied to certain functions, quantitative Voronovskaja’s theorem in weighted space, and a theorem involving Peetre’s K-functional. Furthermore, we give theorems based on difference of operators.

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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

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