{"title":"四变量jensen型算子方程的加性近似","authors":"Jian Wang","doi":"10.1155/S0161171203210486","DOIUrl":null,"url":null,"abstract":"We study the Hyers-Ulam stability theory of a four-variate \nJensen-type functional equation by considering the approximate \nremainder ϕ and obtain the corresponding error formulas. We \nbring to light the close relation between the β-homogeneity \nof the norm on F∗-spaces and the approximate remainder ϕ, \nwhere we allow p,q,r, and s to be different in their \nHyers-Ulam-Rassias stability.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2016-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203210486","citationCount":"4","resultStr":"{\"title\":\"The additive approximation on a four-variate Jensen-type operator equation\",\"authors\":\"Jian Wang\",\"doi\":\"10.1155/S0161171203210486\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the Hyers-Ulam stability theory of a four-variate \\nJensen-type functional equation by considering the approximate \\nremainder ϕ and obtain the corresponding error formulas. We \\nbring to light the close relation between the β-homogeneity \\nof the norm on F∗-spaces and the approximate remainder ϕ, \\nwhere we allow p,q,r, and s to be different in their \\nHyers-Ulam-Rassias stability.\",\"PeriodicalId\":39893,\"journal\":{\"name\":\"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2016-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1155/S0161171203210486\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/S0161171203210486\",\"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":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/S0161171203210486","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
The additive approximation on a four-variate Jensen-type operator equation
We study the Hyers-Ulam stability theory of a four-variate
Jensen-type functional equation by considering the approximate
remainder ϕ and obtain the corresponding error formulas. We
bring to light the close relation between the β-homogeneity
of the norm on F∗-spaces and the approximate remainder ϕ,
where we allow p,q,r, and s to be different in their
Hyers-Ulam-Rassias stability.
期刊介绍：
The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.
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