Novel q-Differentiable Inequalities

Abstract

The striking goal of this study is to introduce a q-identity for a parameterized integral operator via differentiable function. First, we discover the parameterized lemma for the q-integral. After that, we provide several q-differentiable inequalities. By taking suitable choices, some interesting results are obtained. With all of these, we displayed the findings from the traditional analysis utilizing q→1−.

Keywords

• quantum derivative
• quantum integral
• quantum inequalities
• Hölder inequality
• power mean inequality