Some quantum estimates of opial inequality and some of its generalizations

Abstract

Abstract:In this paper, we obtain (p, q) −analogues of Opial integral inequality, involving (p, q) −derivatives of functions. We derive also some of the generalized versions of this integral inequality.

On Generalized Opial's Integral Inequalities in q-Calculus

“…See also ([4], [5], [6] and [7]) for more q-analogues of the Opial's type inequalities. q-Calculus is a mathematical field of study which is analogous to the ordinary calculus.…”