Inequalities for the gamma function relating to asymptotic expansions

DOI10.7153/mia-05-54zbMath1036.26013OpenAlexW2317126222MaRDI QIDQ3146358

Giampietro Allasia, Carla Giordano, Josip E. Pečarić

Publication date: 24 October 2002

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-05-54

zbMATH Keywords

inequalitiesconvex functionsgamma, psi and polygamma functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Related Items (14)

Inequalities and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Inequalities and asymptotics for the Euler-Mascheroni constant based on DeTemple's result ⋮ Monotonicity properties of functions related to the psi function ⋮ Approximations to the Euler-Mascheroni constant ⋮ Asymptotic expansion for \(\log n!\) in terms of the reciprocal of a triangular number ⋮ Inequalities for the Lugo and Euler-Mascheroni constants ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ A series expansion of the completed and extended Riemann zeta-function ⋮ New representations for the Lugo and Euler-Mascheroni constants ⋮ Limits and inequalities associated with the Euler-Mascheroni constant ⋮ Continued fraction estimates for the psi function ⋮ Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant ⋮ New properties of the divided difference of psi and polygamma functions ⋮ A summation formula for convergence acceleration of some Dirichlet and related series

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