Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications

DOI10.3103/S1066369X17030100zbMath1371.65022MaRDI QIDQ2399435

A. Zh. Zhubanysheva, Nurlan Temirgaliyev

Publication date: 23 August 2017

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

zbMATH Keywords

approximate differentiationcomputational (numerical) diameterlimiting errorinformative power of given functional classrecovery of functions by inexact information

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Numerical differentiation (65D25)

Related Items (4)

ON THE LOWER BOUND IN THE PROBLEM OF APPROXIMATE RECONSTRUCTION OF FUNCTIONS BY VALUES OF THE RADON TRANSFORM ⋮ Optimal recovery of functions from numerical information on them and limiting error of the optimal computing unit ⋮ 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

• Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes
• Tractability of multivariate problems. Volume I: Linear information
• Tractability of multivariate problems. Volume II: Standard information for functionals.
• On the informativeness of linear functionals.
• An application of tensor products of functionals in problems of numerical integration
• ON A WAY OF OBTAINING LOWER ESTIMATES FOR THE ERRORS OF QUADRATURE FORMULAS
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
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