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… (More)
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Topic mentions per year

Topic mentions per year

1987-2017
02419872017

Papers overview

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2015
2015
We construct an interpolation operator that does not increase the total variation and is defined on continuous first degree… (More)
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2010
2010
Simple geometric proofs are given for the total positivity of the B-spline collocation matrix and the variation diminishing… (More)
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2009
2009
A new type of cubic trigonometric Bézier curve has been introduced in [1]. This trigonometric curve has two global shape… (More)
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2007
2007
A scheme to specify planar C2 Pythagorean-hodograph (PH) quintic spline curves by control polygons is proposed, in which the… (More)
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2007
2007
The tail probabilities of two weighted sums of independent gamma random variables are compared when the first vector of weights… (More)
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2005
2005
We prove a BV estimate for scalar conservation laws that generalizes the classical Total Variation Diminishing property. In fact… (More)
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2004
2004
Abstract. We prove a BV estimate for scalar conservation laws that generalizes the classical Total Variation Diminishing property… (More)
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2003
2003
Discrete generalized splines are continuous piecewise defined functions which meet some smoothness conditions for the first and… (More)
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1999
1999
Explicit formulae and recurrence relations for the calculation of generalized B-splines (GB-splines) of arbitrary order are given… (More)
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1996
1996
We detail the history and present complete proofs of the spectral properties of totally positive kernels and matrices. § 
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