On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function
Monica Atogpelge Atugba
Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana.
Kwara Nantomah *
Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana.
*Author to whom correspondence should be addressed.
Abstract
By applying the classical Holder's inequality, Young's inequality, Minkowski's inequality and some other analytical tools, we establish some inequalities involving the Chaudhry-Zubair extension of the gamma function. The established results serve as generalizations of some known results in the literature.
Keywords: Chaudhry-Zubair extension, gamma function, log-convex function, Holder's inequality, Young's inequality, Minkowski's inequality, inequality.