Laplace-Stieltjes变换收敛横坐标上的一些不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-12

H. Xu, Z. Xuan

{"title":"Laplace-Stieltjes变换收敛横坐标上的一些不等式","authors":"H. Xu, Z. Xuan","doi":"10.7153/jmi-2023-17-12","DOIUrl":null,"url":null,"abstract":". By making use of the basic properties of Laplace-Stieltjes transform, we establish some inequalities concerning the abscissa of convergence, the abscissa of absolute convergence and the abscissa of uniform convergence of Laplace-Stieltjes transform (cid:2) ∞ 0 e st d α ( t ) . Moreover, we point out that our formulas for the three abscissas of convergence are consistent with the previous results given by Yu [26] for Laplace-Stieltjes transform under some conditions.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms\",\"authors\":\"H. Xu, Z. Xuan\",\"doi\":\"10.7153/jmi-2023-17-12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". By making use of the basic properties of Laplace-Stieltjes transform, we establish some inequalities concerning the abscissa of convergence, the abscissa of absolute convergence and the abscissa of uniform convergence of Laplace-Stieltjes transform (cid:2) ∞ 0 e st d α ( t ) . Moreover, we point out that our formulas for the three abscissas of convergence are consistent with the previous results given by Yu [26] for Laplace-Stieltjes transform under some conditions.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/jmi-2023-17-12\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2023-17-12","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 2

摘要

．利用Laplace-Stieltjes变换的基本性质，建立了Laplace-Stieltjes变换(cid:2)∞0 est d α (t)的收敛横坐标、绝对收敛横坐标和一致收敛横坐标的不等式。此外，我们还指出，在某些条件下，我们的三个坐标的收敛性公式与Yu[26]给出的拉普拉斯-斯蒂尔杰斯变换的结果是一致的。

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

Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms

. By making use of the basic properties of Laplace-Stieltjes transform, we establish some inequalities concerning the abscissa of convergence, the abscissa of absolute convergence and the abscissa of uniform convergence of Laplace-Stieltjes transform (cid:2) ∞ 0 e st d α ( t ) . Moreover, we point out that our formulas for the three abscissas of convergence are consistent with the previous results given by Yu [26] for Laplace-Stieltjes transform under some conditions.

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.