On optimal approximations of the norm of the Fourier operator by a family of logarithmic functions

DOI10.1007/s10958-019-04429-0zbMath1428.42004OpenAlexW2965396268MaRDI QIDQ2278255

I. A. Shakirov

Publication date: 4 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04429-0

zbMATH Keywords

normFourier seriesasymptotic formulapartial sumestimateLebesgue constantextremal problemFourier operator

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (2)

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

Cites Work

• Influence of the choice of Lagrange interpolation nodes on the exact and approximate values of the Lebesgue constants
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