Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions

Abstract

A new (p,q)-integral identity involving left and right post quantum derivatives, by using three times (p,q)-differentiable functions is established and then this identity is used to derive several new post-quantum Ostrowski type integral inequalities for three times (p,q)-differentiable functions. These results are generalizations of corresponding results in the area of integral inequalities.

Keywords

• post quantum calculus
• convex functions
• Ostrowski’s type inequalities