SOME INEQUALITIES INVOLVING THE EXTENDED GAMMA AND BETA FUNCTIONS
Résumé
In the paper, the authors present some inequalities involving the extended gamma and beta functions via some classical inequalities such as Chebychev's inequality for synchronous (or asynchronous respectively) mappings, give a new proof of the log-convexity of the extended gamma and beta functions by using the H\"older inequality, and introduce a Tur\'an type mean inequality for the Kummer confluent $k$-hypergeometric function.
| Origine | Fichiers produits par l'(les) auteur(s) |
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