Critical points in nonlinear \(L^ 1\) approximation

DOI10.1016/0021-9045(83)90059-XzbMath0527.41023MaRDI QIDQ786344

Jerry M. Wolfe

Publication date: 1983

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

zbMATH Keywords

critical pointslocal minimaerror functionallocal approximating tangent spaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52) Approximation by other special function classes (41A30)

Related Items

Interpolatory properties of best rational \(L_ 1\)-approximations

Cites Work

• The fundamental theorem of algebra and the interpolating envelope for totally positive perfect splines
• On the unicity of nonlinear approximation in smooth spaces
• Nonlinear \(L_1\) approximation of smooth functions
• Uniqueness theorems for nonlinear \(L_2\)-approximation problems
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