离散时间尺度上Hermite-Hadamard不等式的新版本

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-07-16 DOI:10.1007/s13324-025-01106-1

Hüseyin Budak

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引用次数: 0

摘要

本文首先引入了基于区间[a， b]和\( \mathbb {Z} \)的两个时间尺度。然后，利用这些时间尺度和替换规则之一，证明了离散凸函数的离散Hermite-Hadamard不等式的一个新版本。此外，我们研究了包含分数阶delta和nabla和的分数阶不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New versions of Hermite–Hadamard inequalities on Discrete Time Scales

In this paper, we first introduced two time scales based on the interval [a, b] and \( \mathbb {Z} \). Then, by using one of these time scale and substitutions rules, we prove a new version of discrete Hermite-Hadamard inequality for discrete convex functions. Moreover, we investigate the fractional version of this inequality involving fractional delta and nabla sums.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.