{"title":"Stability of additive-quadratic functional equation in modular space","authors":"Abderrahman Baza, Mohamed Rossafi, Choonkil Park","doi":"arxiv-2406.15436","DOIUrl":null,"url":null,"abstract":"Using the direct method, we prove the generalised Hyers-Ulam stability of the\nfollowing functional equation \\begin{equation} \\phi(x+y, z+w)+\\phi(x-y, z-w)-2\n\\phi(x, z)-2 \\phi(x, w)=0 \\end{equation} in modular space satisfying the Fatou\nproperty or $\\Delta_2$-condition.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"48 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.15436","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Using the direct method, we prove the generalised Hyers-Ulam stability of the
following functional equation \begin{equation} \phi(x+y, z+w)+\phi(x-y, z-w)-2
\phi(x, z)-2 \phi(x, w)=0 \end{equation} in modular space satisfying the Fatou
property or $\Delta_2$-condition.
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