An extended reverse Hardy–Hilbert’s inequality in the whole plane

Journal of Inequalities and Applications

Qiang Chen¹  Bicheng Yang² 

[1] Department of Computer Science, Guangdong University of Education;Department of Mathematics, Guangdong University of Education;

关键词: Hardy–Hilbert’s inequality;    Hermite–Hadamard’s inequality;    Weight coefficient;    Equivalent form;    Reverse;   

DOI  :  10.1186/s13660-018-1706-y

来源: DOAJ

【 摘 要 】

Abstract Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor. Equivalent forms and a few particular cases are considered.

【 授权许可】

Unknown