{"title":"一般域路径上解析复函数积分的Fink型恒等式","authors":"S. Dragomir","doi":"10.18273/revint.v40n1-2022006","DOIUrl":null,"url":null,"abstract":"In this paper we establish an identity of Fink type for approximating the integral of analytic complex functions on paths from general domains. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are given as well.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An identity of Fink type for the integral of analytic complex functions on paths from general domains\",\"authors\":\"S. Dragomir\",\"doi\":\"10.18273/revint.v40n1-2022006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we establish an identity of Fink type for approximating the integral of analytic complex functions on paths from general domains. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are given as well.\",\"PeriodicalId\":402331,\"journal\":{\"name\":\"Revista Integración\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Integración\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18273/revint.v40n1-2022006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Integración","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18273/revint.v40n1-2022006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An identity of Fink type for the integral of analytic complex functions on paths from general domains
In this paper we establish an identity of Fink type for approximating the integral of analytic complex functions on paths from general domains. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are given as well.
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