|
|
|
|
Volume 8, Issue 2, Article 47 |
|
|
|
|
|
|
New Inequalities for Some Special and $q$-Special Functions
|
|
|
Authors: |
Mouna Sellami, Kamel Brahim, Néji Bettaibi, |
|
|
|
Keywords:
|
Gamma function, Beta function, $q$-Gamma function, $q$-Beta function, $q$-Zeta function. |
|
|
|
Date Received:
|
14/02/07 |
|
|
|
Date Accepted:
|
25/05/07 |
|
|
|
Subject Codes: |
33B15, 33D05.
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
In this paper, we give new inequalities involving some special (resp. q -special) functions, using their integral (resp. q-integral) representations and a technique developed by A. McD. Mercer in [11]. These inequalities generalize those given in [1], [2], [7] and [11].
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|