Some sharp estimates of the constants of Landau and Lebesgue

DOI10.1016/j.jmaa.2008.08.035zbMath1154.26027OpenAlexW2085549926MaRDI QIDQ952146

Dejun Zhao

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.035

zbMATH Keywords

inequalityasymptotic formulasLebesgue's constantpsi functionerror orderLandau's constant

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items

New bounds and asymptotic expansions for the constants of Landau and Lebesgue, Sharp bounds of the Landau constants, Inequalities and asymptotic expansions for the constants of Landau and Lebesgue, Sharp bounds for the Landau constants, Approximation of the Lebesgue constant of the Fourier operator by a logarithmic function, On inequalities and asymptotic expansions for the Landau constants, Asymptotic expansions for the constants of Landau and Lebesgue, Full asymptotic expansions of the Landau constants via a difference equation approach, Approximation formulas for Landau's constants, Multiple-correction and continued fraction approximation, Proofs of two conjectures on the Landau constants, Asymptotics of Landau constants with optimal error bounds, Unified treatment of several asymptotic expansions concerning some mathematical constants, Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio, Multiple-correction and faster approximation, A note on the Landau constants, Proof of a conjecture of Granath on optimal bounds of the Landau constants, Landau constants and their q-analogues

Cites Work

• A sharp estimate of the Landau constants
• Inequalities for the constants of Landau and Lebesgue
• A Stochastic Approach to the Gamma Function
• On some inequalities for the gamma and psi functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item