Hermite–Hadamard and Fejér-type inequalities for strongly reciprocally (p, h)-convex functions of higher order

Abstract

Abstract In this paper, we investigate the properties of a newly introduced class of functions, strongly reciprocally (p, h)-convex functions of higher order. We establish Hermite–Hadamard-type and Fejér-type inequalities for this class of functions. Additionally, we present fractional integral inequalities applicable to strongly reciprocally (p, h)-convex functions of higher order.

Keywords

• Strongly reciprocally convex function
• Strongly convex functions of higher order
• (p, h)-convex function
• Hermite–Hadamard-type inequality
• Fejér-type inequality