Some new Milne-type inequalities

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-08-23 DOI:10.1186/s13660-024-03184-4

Paul Bosch, José M. Rodríguez, José M. Sigarreta, Eva Tourís

引用次数: 0

Abstract

Inequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities. Also, we improve the discrete version of Milne inequality, which holds for any positive value of the parameter p. Finally, we present a Milne-type inequality in the fractional context.

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一些新的米尔恩型不等式

不等式在纯数学和应用数学中发挥着重要作用。本文证明了任何度量空间的米尔恩不等式的广义化。通过证明这个不等式的论证，我们可以得到其他米尔恩型不等式。此外，我们还改进了离散版的米尔恩不等式，该不等式对于参数 p 的任何正值都成立。

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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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.