一般多元Iyengar型不等式

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2019-06-01 DOI:10.33205/CMA.543560

G. Anastassiou

{"title":"一般多元Iyengar型不等式","authors":"G. Anastassiou","doi":"10.33205/CMA.543560","DOIUrl":null,"url":null,"abstract":"Here we give a variety of general multivariate Iyengar type inequalities for not necessarily radial functions defined on the shell and ball. Our approach is based on the polar coordinates in $\\mathbb{R}^{N}$, $N\\geq 2$, and the related multivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalities and univariate author's related results into general multivariate Iyengar inequalities.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"General Multivariate Iyengar Type Inequalities\",\"authors\":\"G. Anastassiou\",\"doi\":\"10.33205/CMA.543560\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here we give a variety of general multivariate Iyengar type inequalities for not necessarily radial functions defined on the shell and ball. Our approach is based on the polar coordinates in $\\\\mathbb{R}^{N}$, $N\\\\geq 2$, and the related multivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalities and univariate author's related results into general multivariate Iyengar inequalities.\",\"PeriodicalId\":36038,\"journal\":{\"name\":\"Constructive Mathematical Analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Constructive Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33205/CMA.543560\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Constructive Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33205/CMA.543560","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 5

摘要

本文给出了定义在壳和球上的不一定是径向函数的各种一般多元Iyengar型不等式。我们的方法是基于$\mathbb{R}^{N}$, $N\geq 2$中的极坐标，以及相关的多元极坐标积分公式。通过这种方法，我们将已知的单变量艾扬格型不等式和单变量作者的相关结果转化为一般的多变量艾扬格不等式。

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

General Multivariate Iyengar Type Inequalities

Here we give a variety of general multivariate Iyengar type inequalities for not necessarily radial functions defined on the shell and ball. Our approach is based on the polar coordinates in $\mathbb{R}^{N}$, $N\geq 2$, and the related multivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalities and univariate author's related results into general multivariate Iyengar inequalities.

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

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks