On HT-convexity and Hadamard-type inequalities

[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.

[学科分类] 电力

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