Montgomery identity and Ostrowski-type inequalities via quantum calculus

Abstract

In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.

Keywords

• ostrowski inequalities
• q-integral
• quantum calculus
• integral inequalities
• difference operators
• convex functions
• 26a51
• 26d15
• 26d10