On Generalized Opial's Integral Inequalities in q-Calculus
B. Abubakari *
Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, P. O. Box 24, Navrongo Campus, Navrongo, Ghana.
M. M. Iddrisu
Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, P. O. Box 24, Navrongo Campus, Navrongo, Ghana.
K. Nantomah
Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, P. O. Box 24, Navrongo Campus, Navrongo, Ghana.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we establish results for q-analogues of generalized Opial integral inequalities and also present some extensions of the analogues. Using the concepts of q-differentiability and continuity of functions and the application of the Holder's integral inequality we establish the results.
Keywords: Generalized Opial Inequality, Holder's Integral Inequality, q-analogue, q-Calculus