On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel

Journal of inequalities and applications

Bicheng Yang¹  Xingshou Huang²  Ricai Luo² 

[1] Department of Mathematics, Guangdong University of Education, 51003, Guangzhou, Guangdong, China;School of Mathematics and Statistics, Hechi University, 456300, Yizhou, Guangxi, P.R. China;

关键词: Weight coefficient;    Mulholland-type inequality;    Equivalent form;    Equivalent statement;    Parameter;    Reverse;    26D15;   

DOI  :  10.1186/s13660-021-02577-z

来源: Springer

【 摘 要 】

By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent forms are obtained. The equivalent statements of the best possible constant factor related to several parameters and a few applied examples are presented.

【 授权许可】

CC BY