Abstract
In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fractional integral operators.
Highlights
1 Introduction Integral operators are very useful in the theory of differential equations and boundary value problems
Fractional integral operators have converted the classical notions into modern concepts
An Hadamard inequality is obtained for these integral operators via strongly convex function
Summary
Integral operators are very useful in the theory of differential equations and boundary value problems They are applied to formulate and solve mathematical models of real world problems; nowadays fractional integral operators are frequently studied to extend and generalize classical subjects. The aim of this paper is to give several integral inequalities for strongly convex functions, resulting in refinements of the integral inequalities presented in [16], [8, 9, 12]. For this purpose, we will need the following integral operators: Definition 1 ([15]) Let τ1 : [a, b] → R be an integrable function.
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