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Research Article Open access CC BY 4.0

Some Inequalities on Generalized p − k Gamma and Beta Functions

Inci Ege, Emrah Yıldırım

Asian Research Journal of Mathematics · pp. 61–69 · Published 24 Jun 2021

10.9734/arjom/2021/v17i430295

Abstract

In this work, we firstly introduce the integral representation of the generalized p-k beta function and then employ well-known Chebychev’s and H¨older’s inequalities to obtain some inequalities on generalized p - k gamma and beta functions. Also, we show the logarithmic convexity properties of these functions.

Inequality generalized p − k gamma function generalized p − k beta function convexity

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