{"title":"关于具有单项式的泛函方程的新近似","authors":"Hamid Khodaei","doi":"10.1016/j.jmaa.2025.130045","DOIUrl":null,"url":null,"abstract":"<div><div>Using a different direct method from the previous studies and the Banach fixed point theorem, we investigate the stability problem of a functional equation having monomials. The results of this paper improve the main results of <span><span>[3]</span></span>, <span><span>[12]</span></span>, <span><span>[18]</span></span>, <span><span>[23]</span></span>, <span><span>[24]</span></span>. Some examples are included for comparison with previous studies.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"555 1","pages":"Article 130045"},"PeriodicalIF":1.2000,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On new approximations of a functional equation having monomials\",\"authors\":\"Hamid Khodaei\",\"doi\":\"10.1016/j.jmaa.2025.130045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Using a different direct method from the previous studies and the Banach fixed point theorem, we investigate the stability problem of a functional equation having monomials. The results of this paper improve the main results of <span><span>[3]</span></span>, <span><span>[12]</span></span>, <span><span>[18]</span></span>, <span><span>[23]</span></span>, <span><span>[24]</span></span>. Some examples are included for comparison with previous studies.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"555 1\",\"pages\":\"Article 130045\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022247X25008261\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25008261","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On new approximations of a functional equation having monomials
Using a different direct method from the previous studies and the Banach fixed point theorem, we investigate the stability problem of a functional equation having monomials. The results of this paper improve the main results of [3], [12], [18], [23], [24]. Some examples are included for comparison with previous studies.
期刊介绍:
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical physics.