New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings

Abstract

In the article, we present a new (p,q)(p,q)-integral identity for the first-order (p,q)(p,q)-differentiable functions and establish several new (p,q)(p,q)-quantum error estimations for various integral inequalities via (α,m)(\alpha ,m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.

Keywords

• (p,q)-quantum calculus
• hermite-hadamard inequality
• simpson’s type inequality
• (α,m)-convex functions
• 26d15
• 26d10
• 26a51