An extremal problem concerning differential operators and applications to optimal reconstruction

DOI10.1016/0362-546X(82)90014-1zbMath0496.41023MaRDI QIDQ3961280

Carlo Franchetti, Charles K. Chui

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

extremal problemoptimal recoveryoptimal reconstructioninsufficient data

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) General theory of ordinary differential operators (47E05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• The optimal recovery of smooth functions
• Best uniform approximation from a collection of subspaces
• An Application of Spline Approximation with Variable Knots to Optimal Estimation of the Derivative
• An Improvement Theorem for Descartes Systems
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