TheL∞-norm of theL2-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture

By A. Shadrin. 2001

62 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/e1feea2cd36e868f9fa9168bcc8b188e2538c797

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Evarist Gin'e
2. Richard Nickl

In Computer Graphics and Computer-Aided Design

1. Evarist Gin'e
2. Richard Nickl

In Mechanical Engineering

1. Evarist Gin'e
2. Richard Nickl

Citations in the corpus

• Adaptive estimation of a distribution function and its density in sup-norm loss by wavelet and spline projections (2008, background): “For example, for Battle–Lemarié wavelets arising from linear B-splines, ‖πj‖′∞ is bounded by 3, and [30], page 135, conjectures the bound 2r − 1 for general order r .”
• Estimation of a k-monotone density: limit distribution theory and the Spline connection (2005, unknown): “We gratefully acknowledge helpful conversations with Carl de Boor, Nira Dyn, Tilmann Gneiting, Piet Groeneboom and Alexei Shadrin.”