涉及最近定义的量子积分的 p 凸函数的新量子赫米特-哈达马德式不等式

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-02-20 DOI:10.1007/s11253-024-02267-1

Ghazala Gulshan, Hüseyin Budak, Rashida Hussain, Muhammad Aamir Ali

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引用次数: 0

摘要

我们利用最近定义的 Tq 积分概念，在 q 微积分的背景下为 p 凸函数建立了新的 Hermite-Hadamard 型积分不等式。然后，利用得到的 p 凸函数的赫米特-哈达玛不等式，得到协调 p 凸函数的新赫米特-哈达玛不等式。此外，我们还举例说明了主要结果的有效性。我们希望所提出的观点和技术能促进该领域的进一步研究。

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New Quantum Hermite–Hadamard-Type Inequalities for p-Convex Functions Involving Recently Defined Quantum Integrals

We develop new Hermite–Hadamard-type integral inequalities for p-convex functions in the context of q-calculus by using the concept of recently defined T_q-integrals. Then the obtained Hermite–Hadamard inequality for p-convex functions is used to get a new Hermite–Hadamard inequality for coordinated p-convex functions. Furthermore, we present some examples to demonstrate the validity of our main results. We hope that the proposed ideas and techniques may stimulate further research in this field.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.