测度为0的广义二次泛函方程的稳定性

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2015-12-01 DOI:10.1515/AUPCSM-2015-0011

Y. Aribou, H. Dimou, A. Chahbi, S. Kabbaj

{"title":"测度为0的广义二次泛函方程的稳定性","authors":"Y. Aribou, H. Dimou, A. Chahbi, S. Kabbaj","doi":"10.1515/AUPCSM-2015-0011","DOIUrl":null,"url":null,"abstract":"Abstract In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"11 1","pages":"149 - 162"},"PeriodicalIF":0.1000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Stability of generalized quadratic functional equation on a set of measure zero\",\"authors\":\"Y. Aribou, H. Dimou, A. Chahbi, S. Kabbaj\",\"doi\":\"10.1515/AUPCSM-2015-0011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.\",\"PeriodicalId\":53863,\"journal\":{\"name\":\"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica\",\"volume\":\"11 1\",\"pages\":\"149 - 162\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2015-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/AUPCSM-2015-0011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/AUPCSM-2015-0011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

摘要本文证明了E为实(复)向量空间的k -二次泛函方程的Hyers-Ulam稳定性。这一结果被用来证明Hyers-Ulam稳定性在一组勒贝格测度零对同一函数方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Stability of generalized quadratic functional equation on a set of measure zero

Abstract In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks