CONVEXITY PROPERTIES AND INEQUALITIES CONCERNING THE(p; k)-GAMMA FUNCTION

Year 2017, Volume: 66 Issue: 2, 130 - 140, 01.08.2017

Kwara Nantomah

https://doi.org/10.1501/Commua1_0000000807

Cited By: 3

Abstract

In this paper, some convexity properties and some inequalities forthe (p; k)-analogue of the Gamma function,a (p; k)-analogue of the celebrated Bohr-Mollerup theorem is given. Furthermore, a (p; k)-analogue of the Riemann zeta function,p;k(x)is introduced andsome associated inequalities are derived. The established results provide the(p; k)-generalizations of some known results concerning the classical Gammafunction

Keywords

(p, k)-Gamma function, convex functions, Bohr-Mollerup theorem, (p, k)-Riemann zeta function, inequality

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• Current address : Kwara Nantomah: Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana.
• E-mail address : [e-mail], [e-mail]