Banach代数值函数的广义Canavati分数型Ostrowski、Opial和gr s型不等式

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2022-01-01 DOI:10.2478/mjpaa-2022-0010

G. Anastassiou

{"title":"Banach代数值函数的广义Canavati分数型Ostrowski、Opial和gr<s:1> s型不等式","authors":"G. Anastassiou","doi":"10.2478/mjpaa-2022-0010","DOIUrl":null,"url":null,"abstract":"Abstract Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖ p, 1 ≤ p ≤ ∞. We provide also applications.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions\",\"authors\":\"G. Anastassiou\",\"doi\":\"10.2478/mjpaa-2022-0010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖ p, 1 ≤ p ≤ ∞. We provide also applications.\",\"PeriodicalId\":36270,\"journal\":{\"name\":\"Moroccan Journal of Pure and Applied Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moroccan Journal of Pure and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/mjpaa-2022-0010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moroccan Journal of Pure and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/mjpaa-2022-0010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

摘要利用广义Canavati分数左、右向量泰勒公式，建立了涉及多个Banach代数值函数的混合分数Ostrowski、Opial和gr s型不等式。估计是关于所有规范‖·‖p, 1≤p≤∞。我们也提供应用程序。

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

Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Abstract Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖ p, 1 ≤ p ≤ ∞. We provide also applications.

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

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks