对于广义 h 前凸函数，具有广义 Mittag-Leffler 核的新局部分式 Hermite-Hadamard 型和 Ostrowski 型不等式

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2024-01-01 DOI:10.1515/dema-2023-0128

Wenbing Sun, Haiyang Wan

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引用次数: 0

摘要

本研究基于两个涉及广义 Mittag-Leffler 核的新局部分数积分算子，得到了关于广义 h h - 前凸函数的这两个积分算子的 Hermite-Hadamard 不等式。随后，构建了与这两个局部分数积分算子相关的积分标识，从而得到了广义 h h -preinvex 函数的一些新的 Ostrowski 型局部分数积分不等式。最后，我们提出了三个例子来说明部分结果和应用。同时，我们还提出了两个涉及连续随机变量广义矩的中点式不等式，以说明结果的应用。

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New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized h h -preinvex functions is obtained. Subsequently, an integral identity related to these two local fractional integral operators is constructed to obtain some new Ostrowski-type local fractional integral inequalities for generalized h h -preinvex functions. Finally, we propose three examples to illustrate the partial results and applications. Meanwhile, we also propose two midpoint-type inequalities involving generalized moments of continuous random variables to show the application of the results.

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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.