Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series

DOI10.1070/IM8905zbMath1443.42003OpenAlexW2974778508MaRDI QIDQ3298993

Roald M. Trigub

Publication date: 17 July 2020

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

Full work available at URL: https://doi.org/10.1070/im8905

zbMATH Keywords

positive definite functionsBernstein's and Schoenberg's theoremsh)\)modulus of smoothness \(\omega_m(f

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Positive definite functions in one variable harmonic analysis (42A82) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Multipliers in one variable harmonic analysis (42A45)

Related Items

Rogosinsky-Bernstein polynomial method of summation of trigonometric Fourier series ⋮ On various moduli of smoothness and \(K\)-functionals ⋮ Relation between Fourier series and Wiener algebras

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