On a new Hardy-Mulholland-type inequality and its more accurate form

Journal of Inequalities and Applications

Aihua Li¹  Leping He¹  Bicheng Yang² 

[1] College of Mathematics and Statistics, Jishou University;Department of Mathematics, Guangdong University of Education;

关键词: Hardy-Mulholand-type inequality;    weight coefficient;    equivalent form;    reverse;    operator;   

DOI  :  10.1186/s13660-016-1012-5

来源: DOAJ

【 摘 要 】

Abstract Using weight coefficients and applying the well-known Hermite-Hadamard inequality, a new Hardy-Mulholand-type inequality with a best possible constant factor is given. Furthermore, we also consider the more accurate equivalent forms, the operator expressions and some particular inequalities. The lemmas and theorems provide an extensive account of this type of inequalities.

【 授权许可】

Unknown