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Variation diminishing property

Known as: Variation diminishing properties, Variation diminishing property of Bézier curves, Variation diminishing property of totally positive matrices 
In mathematics, the variation diminishing property of certain mathematical objects involves diminishing the number of changes in sign (positive to… 
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Related topics

Related topics

6 relations
Bézier curveDescartes' rule of signsJacobi operatorLinear interpolation

Broader (1)

Interpolation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements
2009
2009
Confirming two conjectures of Su and Wang on binomial coefficients
  • Yaming Yu
  • Adv. Appl. Math.
  • 2009
  • Corpus ID: 17643264
2008
2008
Nonlinear subdivision through nonlinear averaging
Highly Cited
2004
Highly Cited
2004
Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge-Kutta Methods
Much attention has been paid in the literature to total-variation-diminishing (TVD) numerical processes in the solution of… 
2003
2003
Knot intervals and multi-degree splines
Highly Cited
1999
Highly Cited
1999
GB-splines of arbitrary order
1996
1996
On zero curves of bivariate polynomials
  • M. Floater
  • Advances in Computational Mathematics
  • 1996
  • Corpus ID: 15964638
Two conditions on the signs of the coefficients of a bivariate polynomial which ensure that the zero set is a single curve are… 
1992
1992
Systematic derivation of spline bases
1985
1985
Markov chains and computer aided geometric design: Part II—examples and subdivision matrices
In Part I, Markov chains were shown to be associated with solutions to several standard problems in computer-aided geometric… 
Review
1976
Review
1976
Splines as linear combinations of B-splines. A Survey
Abstract : This paper is intended to promote the point of view that B-splines are truly basic splines: B-splines express the… 
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