Interpolatory and variation-diminishing properties of generalized B-splines

DOI10.1017/S0308210500025385zbMath0548.41006MaRDI QIDQ3341340

No author found.

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial B-splinestrigonometric splinescomplex polynomial splines

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

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Shape preserving representations for trigonometric polynomial curves ⋮ Control curves and knot intersection for trigonometric splines ⋮ Corner cutting algorithms for the Bézier representation of free form curves ⋮ Identities for trigonometric B-splines with an application to curve design ⋮ \(L_ 2\)-approximation by the translates of a function and related attenuation factors ⋮ Knot insertion and totally positive systems ⋮ Properties of \(\beta\)-splines

Cites Work

• Unnamed Item
• A geometric proof of the variation diminishing property of B-spline approximation
• A factorization theorem for banded matrices
• On the Solvability of Certain Systems of Linear Difference Equations