On HT-convexity and Hadamard-type inequalities

Journal of Inequalities and Applications

Shu-Hong Wang¹  Shu-Ping Bai¹  Feng Qi² 

[1]College of Mathematics, Inner Mongolia University for Nationalities

[2]Institute of Mathematics, Henan Polytechnic University

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

DOI  :  10.1186/s13660-019-2276-3

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown