{"title":"用广义k$-分数形合积分算子求解k$- -凸函数的新HERMITE-HADAMARD型不等式","authors":"F. Lakhal, Meftah Badreddine","doi":"10.22190/fumi211001039l","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a new concept $k$-$\\beta $-convex functions and establish some new Hermite-Hadamard type inequalities for functions whose derivative modulus is $k$-$\\beta $-convex via $k$-fractional conformable integral operators.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"4 4 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR $k$-$\\\\beta $-CONVEX FUNCTIONS VIA GENERALIZED $k$-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS\",\"authors\":\"F. Lakhal, Meftah Badreddine\",\"doi\":\"10.22190/fumi211001039l\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a new concept $k$-$\\\\beta $-convex functions and establish some new Hermite-Hadamard type inequalities for functions whose derivative modulus is $k$-$\\\\beta $-convex via $k$-fractional conformable integral operators.\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"4 4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi211001039l\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi211001039l","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR $k$-$\beta $-CONVEX FUNCTIONS VIA GENERALIZED $k$-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS
In this paper, we introduce a new concept $k$-$\beta $-convex functions and establish some new Hermite-Hadamard type inequalities for functions whose derivative modulus is $k$-$\beta $-convex via $k$-fractional conformable integral operators.
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