Inequalities for α -fractional differentiable functions

Journal of inequalities and applications

Yu-Ming Chu¹ 

关键词: convex function;    Hermite-Hadamard inequality;    fractional derivative;    fractional integral;    special mean;    trapezoidal formula;    26D15;    26A51;    26A33;   

DOI  :  10.1186/s13660-017-1371-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.

【 授权许可】

CC BY