Some sharp estimates of the constants of Landau and Lebesgue

We establish several sharp two-sided inequalities involving the constants of Landau and Lebesgue, which occur and play important roles in two related extremal problems in complex analysis and in Fourier analysis respectively. The main results improves essentially the Watson asymptotic expansion form...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 349; no. 1; pp. 68 - 73
Main Author Zhao, Dejun
Format Journal Article
LanguageEnglish
Published Elsevier Inc 2009
Subjects
Constants of Landau and Lebesgue
Inequalities
Psi function
Psi function
Inequalities
Constants of Landau and Lebesgue
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Summary:We establish several sharp two-sided inequalities involving the constants of Landau and Lebesgue, which occur and play important roles in two related extremal problems in complex analysis and in Fourier analysis respectively. The main results improves essentially the Watson asymptotic expansion formulas for these constants.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2008.08.035