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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… Expand
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2020
2020
In 1970, Binyamin Schwarz defined and analyzed totally positive differential systems (TPDSs), i.e., linear time-varying systems… Expand
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2017
2017
When is the weighted sum of quasi-concave functions quasi-concave? We answer this, extending an analogous preservation of the… Expand
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2013
2013
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Runge-Kutta methods of… Expand
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2010
2010
For a given polynomial F(t)[email protected]?"i"="0^np"iB"i^n(t), expressed in the Bernstein basis over an interval [a,b], we… Expand
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2005
2005
Summary.We prove a BV estimate for scalar conservation laws that generalizes the classical Total Variation Diminishing property… Expand
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Highly Cited
2004
Highly Cited
2004
Much attention has been paid in the literature to total-variation-diminishing (TVD) numerical processes in the solution of… Expand
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1999
1999
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and… Expand
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1995
1995
For totally positive matrices, a new variation diminishing property on the sign of consecutive minors is obtained. this property… Expand
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1992
1992
Abstract We present examples which show that simple geometric concepts of a variation diminishing property do not work for tensor… Expand
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1989
1989
A necessary and sufficient condition for the convexity of the Bézier surface over the k-dimensional simplex is presented. We also… Expand
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