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

Author(s):

Qiliang Huang , Bicheng Yang

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
1167 to 1179
https://magiran.com/p2261285