INEQUALITIES INVOLVING EXTENDED k-GAMMA AND k-BETA FUNCTIONS
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Our aim in this present paper is to introduce some inequalities such as Chebeshev's inequality, log-convexity, Holder inequality etc. which involving the extended k-gamma and k-beta function recently introduced by Mubeen et al. (J. math. anal. Volume 7 Issue 5(2016), 118-131). The obtained inequalities for extended k-beta function are the generalization of inequalities of extended beta function recently proved by Mondal (J. Inequal. Appl. (2017) 2017:10). Also, these inequalities are the extended form of the some inequalities involving k-gamma and k-beta functions earlier proved by Rehman et al. (J. Inequal. Appl., 224(1): 2014).
Abstract
Our aim in this present paper is to introduce some inequalities such as Chebeshev's inequality, log-convexity, Holder inequality etc. which involving the extended k-gamma and k-beta function recently introduced by Mubeen et al. (J. math. anal. Volume 7 Issue 5(2016), 118-131). The obtained inequalities for extended k-beta function are the generalization of inequalities of extended beta function recently proved by Mondal (J. Inequal. Appl. (2017) 2017:10). Also, these inequalities are the extended form of the some inequalities involving k-gamma and k-beta functions earlier proved by Rehman et al. (J. Inequal. Appl., 224(1): 2014).
참고문헌 (22)
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