Some inequalities involving \(k\)-gamma and \(k\)-beta functions with applications. (English) Zbl 1309.33008
Summary: In this paper, we present some inequalities involving \(k\)-gamma and \(k\)-beta functions via some classical inequalities like the Chebychev inequality for synchronous (asynchronous) mappings, and the Grüss and the Ostrowski inequality. Also, we give a new proof of the log-convexity of the \(k\)-gamma and \(k\)-beta functions by using the Hölder inequality.
MSC:
| 33B15 | Gamma, beta and polygamma functions |
| 26D07 | Inequalities involving other types of functions |
References:
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