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

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 : mykwarasoft@yahoo.com, knantomah@uds.edu.gh

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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