SOME INEQUALITIES FOR THE Q-EXTENSION OF THE GAMMA FUNCTION
KWARA NANTOMAH *
Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo UE/R, Ghana
EDWARD PREMPEH
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
STEPHEN BOAKYE TWUM
Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo UE/R, Ghana.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the authors establish some inequalities involving the q-extension of the classical Gamma function. These inequalities provide bounds for certain ratios of the q-extended Gamma function. The procedure makes use of geometric convexity and monotonicity properties of certain functions associated with the q-extended Gamma function.
Keywords: Gamma function, q-extension, geometrically convex function;, inequality.