Inequalities and asymptotic expansions for the constants of Landau and Lebesgue

DOI10.1016/j.amc.2014.10.017zbMath1338.41020OpenAlexW1965150740MaRDI QIDQ298522

Chao-Ping Chen, Junesang Choi

Publication date: 20 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.017

zbMATH Keywords

gamma functionasymptotic expansioninequalitypsi functionconstants of Landau and Lebesguepolygamma functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Evaluation of number-theoretic constants (11Y60)

Related Items (5)

Approximation of the Lebesgue constant of the Fourier operator by a logarithmic function ⋮ Approximations to the Euler-Mascheroni constant ⋮ Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Proof of a conjecture of Granath on optimal bounds of the Landau constants

Cites Work

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• New bounds and asymptotic expansions for the constants of Landau and Lebesgue
• Sharp bounds for the Landau constants
• Asymptotics of Landau constants with optimal error bounds
• A note on the Landau constants
• On inequalities and asymptotic expansions for the Landau constants
• On some inequality for the Landau constants
• Approximation formulas for Landau's constants
• Proofs of two conjectures on the Landau constants
• Asymptotic of the Landau constants and their relationship with hypergeometric function
• Some sharp estimates of the constants of Landau and Lebesgue
• A sharp estimate of the Landau constants
• Inequalities for the constants of Landau and Lebesgue
• Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio
• Asymptotic expansions for the constants of Landau and Lebesgue
• Full asymptotic expansions of the Landau constants via a difference equation approach
• The special functions and their approximations. Vol. I, II
• Asymptotic Approximations of Integrals
• Inequalities for the gamma function relating to asymptotic expansions
• Sharp bounds of the Landau constants
• Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
• Note on Lebesgue's Constants in the Theory of Fourier Series

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