关于时间尺度的 B 单调函数的一些新动态不等式 nabla calculus

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-09-16 DOI:10.1186/s13660-024-03202-5

Nizar Kh. Al-Oushoush, Laith E. Azar, Essam Awwad, Mario Krnić, Ahmed I. Saied

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引用次数: 0

摘要

受文献中某些已知结果的启发，我们在本文中给出了关于时间尺度 nabla 微积分的 B 单调函数的几个新的动态不等式。如果时间尺度代表实数集，我们的结果就简化为文献中已知的积分不等式。另一方面，在正整数环境中，我们得到了 B 单调序列的新离散不等式。

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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Some new dynamic inequalities for B-monotone functions with respect to time scales nabla calculus

Motivated by certain results known from the literature, in this paper we give several new dynamic inequalities for B-monotone functions with respect to time scales nabla calculus. If the time scale represents the set of real numbers, our results reduce to integral inequalities known from the literature. On the other hand, in the setting of positive integers, we obtain new discrete inequalities for B-monotone sequences.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.