Results 171 to 180 of about 14,045 (191)
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A generalization of the variation diminishing property
Advances in Computational Mathematics, 1995Several generalizations of the ordinary variation diminishing property are derived in the sense that, given an \(m \times n\) totally positive matrix \(T\) and an \(n \times r\) matrix \(A\) satisfying some additional conditions, then the number of changes of sign in the consecutive \(r \times r\) minors of \(TA\) is bounded by the number of changes of
Juan Manuel Pena +2 more
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Is there a geometric variation diminishing property for B-spline or Bézier surfaces?
Computer Aided Geometric Design, 1992The authors present a list of interesting examples which show that there is probably no simple geometric characterization of the variation diminishing property of B-spline or Bézier-surfaces -- in direct contrast to the case of the corresponding curves.
Hartmut Prautzsch
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Variation diminishing property of densities of uniform generalized order statistics
Metrika, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mariusz Bieniek, Bieniek Mariusz
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Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge--Kutta Methods
SIAM Journal on Numerical Analysis, 2004The numerical solution of the Cauchy problem for a partial differential equation of the type \[ {\partial \over \partial t} u(x,t) + {\partial \over \partial x} f(u(x,t)) =0, \quad t \geq 0\;\;-\infty < x < \infty \] is investigated. Using the method of lines the numerical problem leads to solving a system of ordinary differential equations of the form
L. Ferracina, M. N. Spijker
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Convexity and variation diminishing property of multidimensional Bernstein polynomials
Analysis in Theory and Applications, 1989A necessary and sufficient condition for the convexity of the Bezier surface over the k-dimensional simplex is presented. We also consider a multidimensional version of the variation diminishing property of the Bernstein polynomials.
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Convexity and Variation Diminishing Property of Bernstein Polynomials over Triangles
1985Let Bn(f;P) denote the Bernstein polynomials over triangle T and \({\hat f_n}\) denote the Bezier net associated with Bn(f;P). A certain type of variations of \({\hat f_n}\) is introduced by GOODMAN quite recently. In the present paper the corresponding variation of Bn(f;P) is defined by integration of the absolute value of the Laplacian of BP(f;P ...
Josef Hoschek +2 more
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On the Variation-Diminishing Property
Results in Mathematics, 1998This paper considers a new approach in proving the so-called strong variation-diminishing property for positive linear operators. Further it presents applications for the Durrmeyer operators with Jacobi weights \(t^\alpha (1-t)^\beta\), \(\alpha, \beta>-1\) and also for the family of operators \(P_n\) introduced by the reviewer (\textit{D. H.
Gavrea, Ioan +2 more
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Ordinal Aggregation Results via Karlin's Variation Diminishing Property
SSRN Electronic Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Choi 0003, Lones Smith
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Interpolatory and variation-diminishing properties of generalized B-splines
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1984SynopsisWe consider classes of functions satisfying certain simple criteria of sign and smoothness and a decomposition property. It is known that these properties are possessed by Chebysheffian B-splines and it is shown here that they are also possessed by certain trigonometric B-splines. For such a class of functions, we derive a variation-diminishing
Goodman, T. N. T., Lee, S. L.
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