On an optimal method for the numerical differentiation of smooth functions

DOI10.1016/0021-9045(76)90014-9zbMath0357.65013OpenAlexW2016610132MaRDI QIDQ1238203

Charles A. Micchelli

Publication date: 1976

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90014-9

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (5)

Optimal recovery of derivatives of bounded analytic and harmonic functions from inaccurate data ⋮ Multivariate splines: a probabilistic perspective ⋮ Functions that preserve families of positive semidefinite matrices ⋮ A refinement of Kolmogorov's inequality ⋮ Approximation of a differentiation operator

Cites Work

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• The Budan-Fourier theorem for splines
• Interpolation by splines satisfying mixed boundary conditions
• Numerical differentiation procedures for non-exact data
• An Elementary Proof of Kolmogorov's Theorem
• Numerical Differentiation and Regularization
• The Elementary Cases of Landau's Problem of Inequalities Between Derivatives

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