{"title":"与Jensen泛函方程相关的Banach代数的近似推导","authors":"I. Chang, Hark-Mahn Kim","doi":"10.12988/ijma.2013.3364","DOIUrl":null,"url":null,"abstract":"In this paper, we examine the generalized Hyers–Ulam stability of derivations associated with the Jensen functional equation f ( x − y n + z ) + f ( y − z n + x ) + f ( z − x n + y ) = f(x) + f(y) + f(z) on Banach algebras for any fixed nonzero integer n. Mathematics Subject Classification: 45J05; 46B03 This work was supported by the Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2012R1A1A2008139 and No. 2012-0002410). 1784 I. Chang and H. Kim","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximate derivations on Banach algebras associated with Jensen functional equation\",\"authors\":\"I. Chang, Hark-Mahn Kim\",\"doi\":\"10.12988/ijma.2013.3364\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we examine the generalized Hyers–Ulam stability of derivations associated with the Jensen functional equation f ( x − y n + z ) + f ( y − z n + x ) + f ( z − x n + y ) = f(x) + f(y) + f(z) on Banach algebras for any fixed nonzero integer n. Mathematics Subject Classification: 45J05; 46B03 This work was supported by the Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2012R1A1A2008139 and No. 2012-0002410). 1784 I. Chang and H. Kim\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/ijma.2013.3364\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ijma.2013.3364","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了任意固定非零整数n在Banach代数上的Jensen泛函方程f(x−y n + z) + f(y−z n + x) + f(z−x n + y) = f(x) + f(y) + f(z)的导数的广义Hyers-Ulam稳定性。数学学科分类:45 - 05;46B03本工作得到韩国教育科学技术部国家研究基金(NRF)基础研究计划(No. 2012R1A1A2008139和No. 2012-0002410)的资助。1784张一、金h
Approximate derivations on Banach algebras associated with Jensen functional equation
In this paper, we examine the generalized Hyers–Ulam stability of derivations associated with the Jensen functional equation f ( x − y n + z ) + f ( y − z n + x ) + f ( z − x n + y ) = f(x) + f(y) + f(z) on Banach algebras for any fixed nonzero integer n. Mathematics Subject Classification: 45J05; 46B03 This work was supported by the Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2012R1A1A2008139 and No. 2012-0002410). 1784 I. Chang and H. Kim
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