关于一些渐近展开式定理

Kodai Mathematical Seminar Reports Pub Date : 1963-09-01 DOI:10.2996/KMJ/1138844785

T. Aonuma

{"title":"关于一些渐近展开式定理","authors":"T. Aonuma","doi":"10.2996/KMJ/1138844785","DOIUrl":null,"url":null,"abstract":"as extensions of the well-known summability theorem (§ 2) and convergence theorems (§3) in this paper. Before proceeding them, we state the following summability theorem and convergence theorems which we are concerned with. THEOREM A. (Bochner and Chandrasekharan [2]). If K(u)£L±(Q, oo), K(u) =o(u~) as U—+CO, /(w)€Lι(0, oo) and K(u) is monotone decreasing in 0^^<oo, then the condition at a point x","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1963-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On some asymptotic expansion theorems\",\"authors\":\"T. Aonuma\",\"doi\":\"10.2996/KMJ/1138844785\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"as extensions of the well-known summability theorem (§ 2) and convergence theorems (§3) in this paper. Before proceeding them, we state the following summability theorem and convergence theorems which we are concerned with. THEOREM A. (Bochner and Chandrasekharan [2]). If K(u)£L±(Q, oo), K(u) =o(u~) as U—+CO, /(w)€Lι(0, oo) and K(u) is monotone decreasing in 0^^<oo, then the condition at a point x\",\"PeriodicalId\":318148,\"journal\":{\"name\":\"Kodai Mathematical Seminar Reports\",\"volume\":\"72 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1963-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kodai Mathematical Seminar Reports\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2996/KMJ/1138844785\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Seminar Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/KMJ/1138844785","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

作为著名的可和性定理(§2)和收敛定理(§3)的推广。在进行它们之前，我们先说明我们所关心的可和性定理和收敛定理。定理a (Bochner and Chandrasekharan bb2010)。如果K(u)£L±(Q, oo)， K(u) =o(u~)作为u - +CO， /(w)€Lι(0, oo)和K(u)在0^^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 some asymptotic expansion theorems

as extensions of the well-known summability theorem (§ 2) and convergence theorems (§3) in this paper. Before proceeding them, we state the following summability theorem and convergence theorems which we are concerned with. THEOREM A. (Bochner and Chandrasekharan [2]). If K(u)£L±(Q, oo), K(u) =o(u~) as U—+CO, /(w)€Lι(0, oo) and K(u) is monotone decreasing in 0^^

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

Kodai Mathematical Seminar Reports

自引率

0.00%

发文量