About the optimal replacement of the Lebesque constant Fourier operator by a logarithmic function

DOI10.1134/S1995080218060185zbMath1402.42048OpenAlexW2885866283MaRDI QIDQ1990957

I. A. Shakirov

Publication date: 29 October 2018

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

Full work available at URL: https://doi.org/10.1134/s1995080218060185

zbMATH Keywords

asymptotic equalityLebesgue constantFourier operatorbest approximation of a Lebesgue constant

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (4)

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 ⋮ Estimation of the approximation of continuous periodic functions by Fourier sums ⋮ Refinement of the estimate for the rate of uniform convergence of the Fourier series of a continuous periodic function of bounded variation

Cites Work

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

This page was built for publication: About the optimal replacement of the Lebesque constant Fourier operator by a logarithmic function