Simultaneous approximation of functions and their (\(\psi\) ,\(\beta\) )- derivatives by Fourier sums

DOI10.1007/BF01060386zbMath0708.42002OpenAlexW2914371759MaRDI QIDQ920327

A. I. Stepanets

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01060386

zbMATH Keywords

estimatesFourier sumsimultaneous trigonometric approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Simultaneous approximation (41A28)

Related Items (4)

Complexity of a Fredholm equation of the second kind with kernels from classes with dominating mixed derivative ⋮ An estimate of the complexity of the approximate solution of Fredholm equations of the second kind with differentiable kernels ⋮ Complexity of Fredholm equations of the second kind with kernels from anisotropic classes of differentiable functions ⋮ On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Simultaneous approximation of periodic functions and their derivatives
• Approximation by Fourier sums of functions with slowly decreasing Fourier coefficients
• An order relation for (\(\psi\) ,\({\bar \beta}\))-derivatives
• Modules of half-decay of monotonic functions and the rate of convergence of Fourier series
• Approximation of periodic functions by Fourier sums in the mean
• CLASSIFICATION OF PERIODIC FUNCTIONS AND THE RATE OF CONVERGENCE OF THEIR FOURIER SERIES
• Deviation of Fourier sums on the classes of infinitely differentiable functions

This page was built for publication: Simultaneous approximation of functions and their (\(\psi\) ,\(\beta\) )- derivatives by Fourier sums