论 N 元组菱形-α积分的哈代和赫米特-哈达马德不等式

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-20 DOI:10.15672/hujms.1191725

Zhongjian Mao, Wen-bin Zhang, Jing-feng Ti̇an

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引用次数: 0

摘要

本文旨在构建时间尺度上多重菱形-α积分的 $n$ 维詹森、哈代和赫米特-哈达马德型不等式。本文还详细考虑了带加权函数的哈代不等式和三变量的赫米特-哈达马德不等式。

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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On Hardy and Hermite-Hadamard inequalities for N-tuple diamond-alpha integral

In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales. The cases of Hardy type inequality with a weighted function and Hermite-Hadamard type inequality of three variables are also considered minutely.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.