On a more accurate Hardy-Hilbert's inequality in the whole plane

Document Type : Research Paper

Authors

1 Department of Mathematics, Guangdong University of Education,Guangzhou , Guangdong , P.R.China

2 Department of Mathematics, Guangdong University of Education

10.22075/ijnaa.2018.13571.1705

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