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


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.

DOI Code: 10.1285/i15900932v38n2p93

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

Full Text: PDF
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.