Inequalities concerning the -gamma and -polygamma functions
In this paper, we establish several inequalities involving the -gamma and -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.
DOI Code: 10.1285/i15900932v38n2p93
Keywords: $(p,k)$-gamma function; $(p,k)$-digamma function; $(p,k)$-polygamma functions; inequality
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