Inequalities concerning the $(p,k)$-gamma and $(p,k)$-polygamma functions

Authors

  • Kwara Nantomah

DOI:

https://doi.org/10.1285/i15900932v38n2p93

Keywords:

$(p, k)$-gamma function, k)$-digamma function, k)$-polygamma functions, inequality

Abstract

In this paper, we establish several inequalities involving the $(p,k)$-gamma and $(p,k)$-polygamma functions. Among other tools, we employ the mean value therorem, the Hermite-Hadamard's inequality, Petrovic's inequality and the Holder's inequality. Upon some parameter variations, we recover some known results as special cases of the established results.

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Published

08-01-2019

Issue

Volume 38, Issue 2 (2018)

Section

Articoli

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