不同变量数的函数空间等距在函数逼近理论中的应用

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2021-12-30 DOI:10.15330/cmp.13.3.805-817

D. Bushev, F. Abdullayev, I. Kal’chuk, M. Imashkyzy

{"title":"不同变量数的函数空间等距在函数逼近理论中的应用","authors":"D. Bushev, F. Abdullayev, I. Kal’chuk, M. Imashkyzy","doi":"10.15330/cmp.13.3.805-817","DOIUrl":null,"url":null,"abstract":"In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"30 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions\",\"authors\":\"D. Bushev, F. Abdullayev, I. Kal’chuk, M. Imashkyzy\",\"doi\":\"10.15330/cmp.13.3.805-817\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.\",\"PeriodicalId\":42912,\"journal\":{\"name\":\"Carpathian Mathematical Publications\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2021-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Carpathian Mathematical Publications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15330/cmp.13.3.805-817\",\"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":"Carpathian Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15330/cmp.13.3.805-817","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

在工作中，我们找到了与指数型全函数空间等距的函数空间的积分表示，这对于给出函数空间与非周期函数空间等距的近似特征相等的例子是必要的。得到了构造具有不同变量数的等距函数空间的类函数核的非负性的充分条件。

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

The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions

In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.

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

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks