On the stability of higher ring left derivations

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• 作者：Yong-Soo Jung
• 关键词：Key wordsHigher left ring derivation ; approximately higher left ring derivation ; stability
• 刊名：Indian Journal of Pure and Applied Mathematics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：47
• 期：3
• 页码：523-533
• 全文大小：133 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mathematics
  Numerical Analysis
  
• 出版者：Springer India
• ISSN：0975-7465
• 卷排序：47

文摘

In this note, we investigate the Hyers-Ulam, the Isac and Rassias-type stability and the Bourgin-type superstability of a functional inequality corresponding to the following functional equation: $${h_n}\left( {xy} \right) = \sum\limits_{\begin{array}{*{20}{c}}{i + j = n} \\ {i \leqslant j} \end{array}} {\left[ {{h_i}\left( x \right){h_j}\left( y \right) + {c_{ij}}{h_i}\left( y \right){h_j}\left( x \right)} \right]} $$, where $${c_{ij}} = \left\{ {\begin{array}{*{20}{c}}1&{if\;i \ne j,} \\ 0&{if\;i = j.} \end{array}} \right.$$Key wordsHigher left ring derivationapproximately higher left ring derivationstabilityReferences1.T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2 (1950), 64–66.MathSciNetCrossRefMATHGoogle Scholar2.R. Badora, On approximate ring homomorphisms, J. Math. Anal. Appl., 276(2) (2002), 589–597.MathSciNetCrossRefMATHGoogle Scholar3.R. Badora, On approximate derivations, Math. Inequal. 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Ulam, A Collection of Mathematical Problems, Interscience Publ., New York, 1960.MATHGoogle ScholarCopyright information© The Indian National Science Academy 2016Authors and AffiliationsYong-Soo Jung1Email author1.Department of MathematicsSun Moon UniversityAsan, ChungnamRepublic of Korea About this article CrossMark Print ISSN 0019-5588 Online ISSN 0975-7465 Publisher Name Indian National Science Academy About this journal Reprints and Permissions Article actions function trackAddToCart() { var buyBoxPixel = new webtrekkV3({ trackDomain: "springergmbh01.webtrekk.net", trackId: "196033507532344", domain: "link.springer.com", contentId: "springer_com.buybox", product: "10.1007/s13226-016-0201-8_On the stability of higher ring le", productStatus: "add", productCategory : { 1 : "ppv" }, customEcommerceParameter : { 9 : "link.springer.com" } }); buyBoxPixel.sendinfo(); } function trackSubscription() { var subscription = new webtrekkV3({ trackDomain: "springergmbh01.webtrekk.net", trackId: "196033507532344", domain: "link.springer.com", contentId: "springer_com.buybox" }); subscription.sendinfo({linkId: "inst. subscription info"}); } window.addEventListener("load", function(event) { var viewPage = new webtrekkV3({ trackDomain: "springergmbh01.webtrekk.net", trackId: "196033507532344", domain: "link.springer.com", contentId: "SL-article", product: "10.1007/s13226-016-0201-8_On the stability of higher ring le", productStatus: "view", productCategory : { 1 : "ppv" }, customEcommerceParameter : { 9 : "link.springer.com" } }); viewPage.sendinfo(); }); Log in to check your access to this article Buy (PDF)EUR 34,95 Unlimited access to full article Instant download (PDF) Price includes local sales tax if applicable Find out about institutional subscriptions Export citation .RIS Papers Reference Manager RefWorks Zotero .ENW EndNote .BIB BibTeX JabRef Mendeley Share article Email Facebook Twitter LinkedIn Cookies We use cookies to improve your experience with our site. 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