离散多数化型不等式，经典结果与最新结果的比较

IF 0.5 Q3 MATHEMATICS Asian-European Journal of Mathematics Pub Date : 2023-10-14 DOI:10.1142/s1793557123502091

Laszlo Horvath

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引用次数: 0

摘要

本文研究了一个新的离散多数型不等式与经典多数型不等式之间的关系。并给出了所研究的新不等式的乘法类比，这是Weyl不等式的广泛推广。作为应用，我们给出了波波维西乌版本的彼得罗夫维奇不等式的参数化改进。

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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Discrete majorization type inequalities, comparison of classic results with a recent result

In this paper, we examine the relationship between a recent new discrete majorization-type inequality and classical majorization-type inequalities. The multiplicative analog of the studied new inequality is also given, which is a wide generalization of Weyl’s inequality. As an application, we give a parametric refinement of Popoviciu’s version of the Petrović inequality.

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.

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