Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities

The Journal of Nonlinear Sciences and its Applications

WenbingSun¹ 

[1] School of Science, Shaoyang University, Shaoyang 422000,Hunan, P. R. China

关键词: Generalized harmonically convex function;    Hermite-Hadamard type inequality;    fractal space;    local fractional integral;   

DOI  :  10.22436/jnsa.010.11.24

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, the author introduced the concept of generalized harmonically convex function on fractal sets \(\mathbb{R}^{\alpha}(0<\alpha\leq1)\) of real line numbers and established generalized Hermite-Hadamard's inequalities for generalized harmonically convex function. Then, by creating a local fractional integral identity, obtained some Hermite-Hadamard type inequalities of these classes of functions.

【 授权许可】

Unknown