Some New Fractional Inequalities Defined Using cr-Log-h-Convex Functions and Applications

Abstract

There is a strong correlation between the concept of convexity and symmetry. One of these is the class of interval-valued cr-log-h-convex functions, which is closely related to the theory of symmetry. In this paper, we obtain Hermite–Hadamard and its weighted version inequalities that are related to interval-valued cr-log-h-convex functions, and some known results are recaptured. To support our main results, we offer three examples and two applications related to modified Bessel functions and special means as well.

Keywords

• Hermite–Hadamard inequality
• Fejér-type inequality
• cr-log-h-convex functions
• modified Bessel function of first kind