{"title":"与区间值指数三角凸函数有关的某些分数积分内含物","authors":"Taic un Zhou, T. Du","doi":"10.7153/jmi-2023-17-20","DOIUrl":null,"url":null,"abstract":". As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is fi rstly introduced, and their meaningful properties are then investigated. Meanwhile, certain Hermite–Hadamard-and Pachpatte-type integral inclusion relations are also developed via the newly proposed functions in interval-valued fractional calculus. In particular, an improved version of the Hermite–Hadamard’s integral inclusions pertaining to the interval-valued exponential trigonometric convex functions is proposed as well. To identify the correctness of the derived inclusion relations in the study, the graphical representations for the outcomes are provided in terms of the change of the parameter α .","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions\",\"authors\":\"Taic un Zhou, T. Du\",\"doi\":\"10.7153/jmi-2023-17-20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is fi rstly introduced, and their meaningful properties are then investigated. Meanwhile, certain Hermite–Hadamard-and Pachpatte-type integral inclusion relations are also developed via the newly proposed functions in interval-valued fractional calculus. In particular, an improved version of the Hermite–Hadamard’s integral inclusions pertaining to the interval-valued exponential trigonometric convex functions is proposed as well. To identify the correctness of the derived inclusion relations in the study, the graphical representations for the outcomes are provided in terms of the change of the parameter α .\",\"PeriodicalId\":49165,\"journal\":{\"name\":\"Journal of Mathematical Inequalities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Inequalities\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/jmi-2023-17-20\",\"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 Inequalities","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2023-17-20","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions
. As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is fi rstly introduced, and their meaningful properties are then investigated. Meanwhile, certain Hermite–Hadamard-and Pachpatte-type integral inclusion relations are also developed via the newly proposed functions in interval-valued fractional calculus. In particular, an improved version of the Hermite–Hadamard’s integral inclusions pertaining to the interval-valued exponential trigonometric convex functions is proposed as well. To identify the correctness of the derived inclusion relations in the study, the graphical representations for the outcomes are provided in terms of the change of the parameter α .
期刊介绍:
The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts.
''JMI'' is published quarterly; in March, June, September, and December.