We introduce a set of mathematical constants which is involved naturally in the theory of multiple Gamma functions. Then we present general asymptotic inequalities for these constants whose special cases are seen to contain all results very recently given in Chen 2011.
"A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/121795