Abstract
In this paper, some new inequalities of the trapezoid type for h-convex functions via generalized fractional integral are given. The results also provide new estimates on these types of trapezoid inequalities for Riemann-Liouville type fractional operators.
Highlights
We recall some necessary definitions and mathematical preliminaries of the generalized fractional integrals which are defined by Sarikaya and Ertugral [1]
The most important feature of generalized fractional integrals is that they generalize some types of fractional integrals such as Riemann-Liouville fractional integral, k-Riemann-Liouville fractional integral, Katugampola fractional integrals, conformable fractional integral, Hadamard fractional integrals, etc
The systematic study of h-convex functions with their various applications has been given by many authors, see [6,7,8,9,10]
Summary
O. MOHAMMED, “On New Trapezoid Type Inequalities for h-convex Functions via Generalized Fractional Integral.” Turkish Journal of Analysis and Number Theory, vol 6, no. We recall some necessary definitions and mathematical preliminaries of the generalized fractional integrals which are defined by Sarikaya and Ertugral [1]. We define the following left-sided and right-sided generalized fractional integral operators, respectively, as follows: These important special cases of the integral operators (1.1) and (1.2) are mentioned below.
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