On a new discrete Mulholland-type inequality in the whole plane.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-24 DOI:10.1186/s13660-018-1777-9

Bicheng Yang, Qiang Chen

引用次数: 0

Abstract

A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite-Hadamard's inequality. Moreover, the equivalent forms, some particular cases, and the operator expressions are considered.

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全平面上一个新的离散mulholland型不等式。

通过引入多参数，应用权系数，利用Hermite-Hadamard不等式，给出了一种具有最佳常因子的全平面离散mulholland型不等式。此外，还考虑了其等价形式、一些特殊情况和算子表达式。

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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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

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.