On local fractional integral inequalities via generalized ( h ˜ 1 , h ˜ 2 ) \left({\tilde{h}}_{1},{\tilde{h}}_{2}) -preinvexity involving local fractional integral operators with Mittag-Leffler kernel

IF 2 3区数学 Q1 MATHEMATICS Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0216

M. Vivas-Cortez, Maria Bibi, M. Muddassar, S. Al-Sa'di

引用次数: 0

Abstract

Abstract Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type local fractional integral inequalities via generalized ( h ˜ 1 , h ˜ 2 ) \left({\tilde{h}}_{1},{\tilde{h}}_{2}) -preinvex function comprising local fractional integral operators and Mittag-Leffler kernel. In addition, two examples are discussed to ensure that the derived consequences are correct. As an application, we construct an inequality to establish central moments of a random variable.

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利用广义(h ～ 1, h ～ 2) \left ({\tilde{h}} ＿1{, }{\tilde{h}} ＿2{) -含Mittag-Leffler核的局部分数阶积分算子的先验性研究局部分数阶积分不等式}

摘要针对广义凸性和前凸性，研究了包含Mittag-Leffler核局部分数积分算子的Hermite-Hadamard型局部分数积分不等式。本文利用广义(h ～ 1, h ～ 2) \left ({\tilde{h}} ＿1, {}{\tilde{h}} ＿2{) -预逆函数，利用Mittag-Leffler核和局部分数阶积分算子，分析了hermite - hadamard型局部分数阶积分不等式。此外，还讨论了两个例子，以确保推导的结果是正确的。作为一个应用，我们构造了一个不等式来建立一个随机变量的中心矩。}

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.