Document Type : Research Paper

Authors

• Qiliang Huang ¹
• Bicheng Yang ²

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

² Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, P.R.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