Fractional identities involving exponential kernel and associated fractional trapezium like inequalities

Abstract

The main objective of this paper is to derive some new variants of trapezium like inequalities involving k-fractional integrals with exponential kernel essentially using the definition of preinvex functions. Fractional bounds associated with some new fractional integral identities are also obtained. In order to show the significance of our main results, we also discuss applications to means and q-digamma functions. We discuss special cases which show that our results are quite unifying.

Keywords

• convex
• preinvex
• fractional
• exponential
• trapezium inequalities