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

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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