On some new generalized fractional Bullen-type inequalities with applications

Abstract

Abstract In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Raina fractional integrals. Further examples are given to indicate the validity of obtained results. Lastly, some error estimates for the quadrature rules are provided, and to find applications for our results to information theory, we proved a new generalization based on f-divergence measure.

Keywords

• Bullen’s inequality
• Fractional integrals
• p-convex function
• f-divergence measure