Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes

DOI10.1134/S0965542515090146zbMath1336.65019MaRDI QIDQ901842

A. Zh. Zhubanysheva, Nurlan Temirgaliyev

Publication date: 6 January 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

approximate differentiationcomputational (numerical) diameterinformative cardinality of a given class of functionalslimiting errormassive limiting errorrecovery from inexact information

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Numerical differentiation (65D25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Optimal recovery of functions from numerical information on them and limiting error of the optimal computing unit ⋮ Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications ⋮ The Radon transform in the scheme of C(N)D-investigations and the quasi-Monte Carlo theory ⋮ Computational (numerical) diameter in a context of general theory of a recovery

Cites Work

• Unnamed Item
• Unnamed Item
• Exact orders of computational (numerical) diameters in problems of reconstructing functions and sampling solutions of the Klein-Gordon equation from Fourier coefficients
• Tractability of multivariate problems. Volume I: Linear information
• n-widths of Sobolev spaces in \(L^ p\)
• Discretization of solutions to a wave equation, numerical differentiation, and function recovery with the help of computer (computing) diameter
• Indefinite knowledge about an object and accuracy of its recovery methods
• An application of tensor products of functionals in problems of numerical integration
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Noisy Information and Computational Complexity
• Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error

This page was built for publication: Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes