On Hermite-Hadamard Type Inequalities for Coordinated Convex Functions via (<i>p</i>,<i>q</i>)-Calculus

Abstract

In this paper, we define (p,q)-integrals for continuous functions of two variables. Then, we prove the Hermite-Hadamard type inequalities for coordinated convex functions by using (p,q)-integrals. Many results obtained in this paper provide significant extensions of other related results given in the literature. Finally, we give some examples of our results.

Keywords

• Hermite-Hadamard inequality
• (<i>p</i>,<i>q</i>)-derivative
• (<i>p</i>,<i>q</i>)-integral
• (<i>p</i>,<i>q</i>)-calculus
• coordinated convex function