Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables

Abstract

Abstract In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities.

Keywords

• Ostrowski inequality
• q 1 q 2 $q_{1}q_{2}$ -integral
• Quantum calculus
• Coordinated convex function