Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions

IF 1.1 3区 数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-20
Taic un Zhou, T. Du
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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 .
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与区间值指数三角凸函数有关的某些分数积分内含物
。作为涉及区间值凸函数的一种有趣的推广,首先引入了区间值指数三角凸函数,然后研究了其有意义的性质。同时,利用新提出的区间值分数阶微积分函数,得到了某些Hermite-Hadamard-and pachpatte型积分包含关系。特别地,提出了一个改进的关于区间值指数三角凸函数的Hermite-Hadamard积分包涵。为了确定研究中推导出的包含关系的正确性,给出了参数α变化的结果的图形表示。
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来源期刊
Journal of Mathematical Inequalities
Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.90
自引率
3.40%
发文量
56
审稿时长
6-12 weeks
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.
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