Convexité, complète monotonie et inégalités sur les fonctions zèta et gamma, sur les fonctions des opérateurs de Baskakov et sur des fonctions arithmétiques

DOI10.4153/CJM-2002-034-7zbMath1027.11059MaRDI QIDQ4784366

Marc Rogalski, Guy Bastien

Publication date: 12 May 2003

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

zeta functionBaskakov's operatorsCompletely monotonic functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Approximation by operators (in particular, by integral operators) (41A35) Convexity of real functions in one variable, generalizations (26A51) Best constants in approximation theory (41A44)

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