On a unified integral operator for φ-convex functions

Abstract

Abstract Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric φ-convex functions in the form of a Hadamard inequality. Also, for φ-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions.

Keywords

• Convex function
• φ-convex function
• Integral operators
• Fractional integrals
• Conformable fractional integrals
• Bounds