{"title":"一些微积分规则、通过凸因子实现的广义凸性及其应用","authors":"Bhawna Kohli","doi":"10.1007/s13226-024-00578-4","DOIUrl":null,"url":null,"abstract":"<p>In this paper, convexifactors of product and quotient of functions are computed. Generalized convexity of these functions in terms of convexifactors is studied. The obtained results are then applied to develop optimality conditions for fractional programming problem.</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some calculus rules, generalized convexity via convexifactors and their applications\",\"authors\":\"Bhawna Kohli\",\"doi\":\"10.1007/s13226-024-00578-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, convexifactors of product and quotient of functions are computed. Generalized convexity of these functions in terms of convexifactors is studied. The obtained results are then applied to develop optimality conditions for fractional programming problem.</p>\",\"PeriodicalId\":501427,\"journal\":{\"name\":\"Indian Journal of Pure and Applied Mathematics\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s13226-024-00578-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00578-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some calculus rules, generalized convexity via convexifactors and their applications
In this paper, convexifactors of product and quotient of functions are computed. Generalized convexity of these functions in terms of convexifactors is studied. The obtained results are then applied to develop optimality conditions for fractional programming problem.
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