Derivation of bounds of several kinds of operators via (s,m) $(s,m)$-convexity

Abstract

Abstract The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m) $(s,m)$-convex functions in a unified form. Further, the upper and lower bounds of these operators are obtained in the form of a Hadamard inequality, and their various fractional versions are presented. Some connections with already known results are obtained.

Keywords

• ( s , m ) $(s,m)$ -Convex function
• Integral operators
• Fractional integral operators
• Conformable integral operators