Parameterized discrete Hilbert-type inequalities with intermediate variables

Journal of Inequalities and Applications

Ricai Luo¹  Bicheng Yang² 

[1] 0000 0004 1798 8991, grid.464329.e, School of Mathematics and Statistics, Hechi University, Yizhou, P.R. China;grid.440716.0, Department of Mathematics, Guangdong University of Education, Guangzhou, China;

关键词: Weight coefficient;    Hilbert-type inequality;    Equivalent statement;    Parameter;    Operator expression;    26D15;   

DOI  :  10.1186/s13660-019-2095-6

来源: publisher

【 摘 要 】

By means of the weight coefficients and the idea of introducing parameters, a discrete Hilbert-type inequality with the general homogeneous kernel and the intermediate variables is given. The equivalent form is obtained. The equivalent statements of the best possible constant factor related to some parameters, the operator expressions, and a few particular cases are considered.

【 授权许可】

CC BY