Deviation of Fourier sums on the classes of infinitely differentiable functions

DOI10.1007/BF01268429zbMath0605.42001OpenAlexW2019279686MaRDI QIDQ5903276

A. I. Stepanets

Publication date: 1984

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01268429

zbMATH Keywords

Fourier coefficientstrigonometric system

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (9)

An order relation for (\(\psi\) ,\({\bar \beta}\))-derivatives ⋮ Modules of half-decay of monotonic functions and the rate of convergence of Fourier series ⋮ Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals ⋮ Fourier series: New results and unsolved problems ⋮ Simultaneous approximation of functions and their (\(\psi\) ,\(\beta\) )- derivatives by Fourier sums ⋮ Deviations of Fourier sums on classes of entire functions ⋮ Deviations of Fourier sums on classes of entire functions ⋮ Strong summability of Fourier series on classes of (\(\psi\) ,\(\beta\) )- differentiable functions ⋮ Lebesgue's inequality on classes of \((\psi{},\beta{})\)-differentiable functions

Cites Work

• Approximation by triangular Fourier sums on classes of continuous periodic functions of two variables
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