Some Generalized Fractional Integral Inequalities for Convex Functions with Applications

Abstract

In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and Simpson’s inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas.

Keywords

• midpoint inequalities
• trapezoid inequalities
• Simpson’s inequalities
• fractional calculus
• convex functions