区间值h-凸函数的整合分数阶积分Hermite-Hadamard型不等式

CONFORMABLE FRACTIONAL INTEGRALS HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONS

本文研究了区间值函数的整合分数阶积分形式Hermite-Hadamard型不等式的问题.利用区间分析及区间h-凸函数理论,给出了区间值函数的整合分数阶积分概念,讨论了该积分的若干基本性质,并且得到了一类新的分数阶积分的Hermite-Hadamard型不等式,推广了文献[1-3]的结果.

In this paper,we study the problem of comformable fractional integrals for interval-valued functions in the form of Hermite-Hadamard type inequalities.Using interval analysis and the theory of interval h-convex functions,we give the concept of comformable fractional integrals for interval-valued functions,discuss some basic properties of these integrals,and obtain a new class of Hermite-Hadamard type inequalities for fractional integrals,which extend the results in[1-3].