Different types of quantum integral inequalities via (α,m) $(\alpha ,m)$-convexity

Abstract

Abstract In this paper, based on (α,m) $(\alpha,m)$-convexity, we establish different type inequalities via quantum integrals. These inequalities generalize some results given in the literature.

Keywords

• Quantum integral inequalities
• ( α , m ) $(\alpha, m)$ -convex functions
• Hermite–Hadamard’s inequality
• Simpson’s inequality