Approximation of the Lebesgue constant of the Fourier operator by a logarithmic function

DOI10.3103/S1066369X22050073OpenAlexW4312472554MaRDI QIDQ2678347

I. A. Shakirov

Publication date: 23 January 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x22050073

zbMATH Keywords

Fourier seriesasymptotic formulaextremal problemLebesgue constant of Fourier operatortwo-sided estimate of Lebesgue constant

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Best constants in approximation theory (41A44)

Cites Work

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• Inequalities and asymptotic expansions for the constants of Landau and Lebesgue
• Some sharp estimates of the constants of Landau and Lebesgue
• Unified treatment of several asymptotic expansions concerning some mathematical constants
• About the optimal replacement of the Lebesque constant Fourier operator by a logarithmic function
• Approximation of the Lebesgue constant of a Lagrange polynomial by a logarithmic function with shifted argument
• On optimal approximations of the norm of the Fourier operator by a family of logarithmic functions
• Auswertung der Normen von Interpolationsoperatoren

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