The fundamental theorem of algebra and the interpolating envelope for totally positive perfect splines

DOI10.1016/0021-9045(82)90090-9zbMath0489.41013OpenAlexW1996654653MaRDI QIDQ1166729

Henry L. Loeb, Richard B. Barrar

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90090-9

zbMATH Keywords

fundamental theorem of algebrainterpolating envelopeL1 approximationtotally positive perfect splinesweak Tchebycheff systems

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (2)

The optimal \(L_ 1\) problem for generalized polynomial monosplines and a related problem ⋮ Critical points in nonlinear \(L^ 1\) approximation

Cites Work

• The optimal recovery of smooth functions
• Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
• Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval
• High Order Search Methods for Finding Roots
• Interpolation Properties of Generalized Perfect Splines and the Solutions of Certain Extremal Problems. I
• Another Extermal Property of Perfect Splines
• On n-Widths in L ∞
• A remark concerning perfect splines
• A Moment Problem in L 1 Approximation
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