有限区间上各种积分不等式的量子对称模拟

IF 1.1 3区数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-40

Mohd Bilal, Akhlad Iqbal, Sachin Rastogi

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引用次数: 1

摘要

．本文将有限区间上的量子微积分的概念推广为有限区间上的对称量子微积分。定义了实值函数的对称导数和对称积分。我们还证明了有限区间上一些积分不等式的量子对称模拟。

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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Quantum symmetric analogue of various integral inequalities over finite intervals

. In this paper, we generalize the concept of Quantum calculus on ﬁ nite intervals called symmetric quantum calculus over ﬁ nite intervals. We de ﬁ ne q s -symmetric derivative and q s - symmetric integral for a real valued function. We also prove quantum symmetric analogue of some integral inequalities over ﬁ nite interval.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.