Title of article :
On a more accurate Hardy-Hilbert's inequality in the whole plane
Author/Authors :
Huang, Qiliang Department of Mathematics - Guangdong University of Education, Guangzhou, China , Yang, Bicheng Department of Mathematics - Guangdong University of Education, Guangzhou, China
Abstract :
By introducing independent parameters and applying the weight coefficients, we use Hermite-Hadamard's inequality and give a more accurate Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered.
Keywords :
Hardy-Hilbert's inequality , more accurate inequality , parameter , weight coefficient , equivalent form , operator expression
Journal title :
International Journal of Nonlinear Analysis and Applications
