一个具有最佳可能常数因子的更精确的扩展穆赫兰不等式的等价表述

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI:10.7153/mia-2020-23-18

Bicheng Yang, Me fa Huang, Y. Zhong

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引用次数: 6

摘要

利用权函数、引入参数的思想和HermiteHadamard不等式，给出了更为精确的推广Mulholland不等式及其等价形式。考虑了与某些参数、某些特殊情况和算子表达式有关的最佳可能常数因子的几个等价表达式。数学学科分类(2010):26D15。

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Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor

By the use of the weight functions, the idea of introduced parameters and HermiteHadamard’s inequality, a more accurate extended Mulholland’s inequality and its equivalent form are given. A few equivalent statements of the best possible constant factor related to some parameters, some particular cases and the operator expressions are considered. Mathematics subject classification (2010): 26D15.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.