Optimal order of accuracy in Vasin's method for differentiation of noisy functions

DOI10.1007/BF00940901zbMath0795.90063MaRDI QIDQ1321224

V. Pereyra

Publication date: 4 September 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

smoothingaccuracy estimateorder of accuracyapproximate differentiationerror level

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30) Numerical differentiation (65D25)

Related Items (9)

Application of Fourier truncation method to numerical differentiation for bivariate functions ⋮ Stable Lagrangian numerical differentiation with the highest order of approximation ⋮ Derivative spectroscopy -- an enhanced role for numerical differentiation ⋮ An optimal method for recovering the mixed derivative \(f^{(2,2)}\) of bivariate functions ⋮ The minimal radius of Galerkin information for the problem of numerical differentiation ⋮ Extract the information from big data with randomly distributed noise ⋮ Optimization of the methods of numerical differentiation for bivariate functions ⋮ Smoothing via elliptic operators with application to edge detection ⋮ Numerical differentiation for two-dimensional scattered data

Cites Work

• Unnamed Item
• Automatic numerical differentiation by discrete mollification
• Numerical Differentiation by Finite-Dimensional Regularition
• Differentiation of Approximately Specified Functions
• The stable evaluation of a derivative in space C(−∞, ∞)
• Numerical Differentiation and Regularization

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