Computational (numerical) diameter in a context of general theory of a recovery
From MaRDI portal
Publication:2287015
DOI10.3103/S1066369X19010109MaRDI QIDQ2287015
A. Zh. Zhubanysheva, Nurlan Temirgaliyev
Publication date: 23 January 2020
Published in: Russian Mathematics (Search for Journal in Brave)
computational mathematicslimiting errorapproximation theory in quantitative statementcomputational (numerical) diameter (C(N)d)new scheme of numerical analysisrecovery from exact and inexact information
Related Items
ON THE LOWER BOUND IN THE PROBLEM OF APPROXIMATE RECONSTRUCTION OF FUNCTIONS BY VALUES OF THE RADON TRANSFORM ⋮ Optimal computing units in the problem of discretizing solutions of the Klein-Gordon equation and their limit errors ⋮ The Radon transform in the scheme of C(N)D-investigations and the quasi-Monte Carlo theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Tensor products of functionals and their application
- 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
- On the informative power of all possible linear functionals for the discretization of solutions of the Klein-Gordon equation in the metric of \(L ^{2,\infty}\)
- Best approximation of analytic functions from information about their values at a finite number of points
- Best approximation of functions specified with an error at a finite number of points
- On the informativeness of linear functionals.
- Applications of Smolyak quadrature formulas to the numerical integration of Fourier coefficients and in function recovery problems
- On the validity for frames of a result concerning orthogonal systems
- Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications
- On the discretization of solutions of the wave equation with initial conditions from generalized Sobolev classes
- Discretization of solutions to a wave equation, numerical differentiation, and function recovery with the help of computer (computing) diameter
- Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
- Greedy Approximation
- Optimal Sampling of Holomorphic Functions
- Noisy Information and Computational Complexity
- Optimization of numerical processes
- DUALITY OF CONVEX FUNCTIONS AND EXTREMUM PROBLEMS
- Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform
- Best Approximate Integration Formulas; Best Approximation Formulas