Ostrowski–Trapezoid–Grüss-Type on (<i>q</i>, <i>ω</i>)-Hahn Difference Operator

Abstract

We use two parameters for functions whose second (q, ω)-derivatives are bounded in order to prove several recent extensions of the Ostrowski inequality and its companion inequalities on (q, ω)-Hahn difference operator. Furthermore, we procure some q-integral and continuous inequalities as special cases of the main results as well these generalizations. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.

Keywords

• (<i>q</i>, <i>ω</i>)-Hahn difference operator
• montgomery identity
• Ostrowski-type inequality
• trapezoid-type inequality
• Grüss-type inequality