Mercer, A. McD. Some new inequalities for the gamma, beta and zeta functions. (English) Zbl 1182.33005 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 29, 6 p. (2006). Summary: An inequality involving a positive linear operator acting on the composition of two continuous functions is presented. This inequality leads to new inequalities involving the beta, gamma and zeta functions and a large family of functions which are Mellin transforms. Cited in 2 ReviewsCited in 3 Documents MSC: 33B15 Gamma, beta and polygamma functions 26D07 Inequalities involving other types of functions 39B62 Functional inequalities, including subadditivity, convexity, etc. Keywords:gamma functions; beta functions; zeta functions; Mellin transforms PDF BibTeX XML Cite \textit{A. McD. Mercer}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 29, 6 p. (2006; Zbl 1182.33005) Full Text: EuDML EMIS OpenURL