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

Authors : Kwara NANTOMAH

Pages : 130-140

Doi:10.1501/Commua1_0000000807

View : 7 | Download : 5

Publication Date : 2017-08-01

Article Type : Research Paper

Abstract :In this paper, some convexity properties and some inequalities forthe insert ignore into journalissuearticles values(p; k);-analogue of the Gamma function,a insert ignore into journalissuearticles values(p; k);-analogue of the celebrated Bohr-Mollerup theorem is given. Furthermore, a insert ignore into journalissuearticles values(p; k);-analogue of the Riemann zeta function,p;kinsert ignore into journalissuearticles values(x);is introduced andsome associated inequalities are derived. The established results provide theinsert ignore into journalissuearticles values(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