Extreme problems related to the approximation of the Lebesgue constant of a Fourier operator by a logarithmic function

DOI10.1134/S1995080220110220zbMath1469.41010OpenAlexW3116106224MaRDI QIDQ828186

I. A. Shakirov

Publication date: 8 January 2021

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

Full work available at URL: https://doi.org/10.1134/s1995080220110220

zbMATH Keywords

best approximationextreme problemFourier operator normtwo-way evaluation of Lebesgue constant

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Cites Work

• Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen
• About the optimal replacement of the Lebesque constant Fourier operator by a logarithmic function
• On optimal approximations of the norm of the Fourier operator by a family of logarithmic functions
• Note on Lebesgue's Constants in the Theory of Fourier Series
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