On HT-convexity and Hadamard-type inequalities

Journal of inequalities and applications

article

Shu-Ping Bai¹  Shu-Hong Wang¹  Feng Qi² 

[1] College of Mathematics, Inner Mongolia University for Nationalities;Institute of Mathematics, Henan Polytechnic University;School of Mathematical Sciences, Tianjin Polytechnic University

关键词: HT-convexity;    Hadamard-type inequality;    Arithmetic mean;    p -Logarithmic mean;   

DOI  :  10.1186/s13660-019-2276-3

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic mean and the p-logarithmic mean. These results generalize corresponding ones for HA-convex functions and MT-convex functions.

【 授权许可】

CC BY