Results 1 to 10 of about 145,652 (224)

Global smoothness preservation and the variation-diminishing property

Journal of Inequalities and Applications, 1999
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and variation diminution for sequences of approximation operators.
Gavrea Ioan, Kacsó Daniela P, Zhou Ding-Xuan, Gonska Heinz H, Cottin Claudia   +4 more
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Variation diminishing-type properties for multivariate sampling Kantorovich operators [PDF]

Bollettino dell'Unione Matematica Italiana, 2020
AbstractIn this paper we establish a variation-diminishing type estimate for the multivariate Kantorovich sampling operators with respect to the concept of multidimensional variation introduced by Tonelli. A sharper estimate can be achieved when step functions with compact support (digital images) are considered.
Laura Angelonı, Danilo Costarellı, Marco Seracini, Gianluca Vıntı, Luca Zampogni   +4 more
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Ordinal Aggregation Results via Karlin's Variation Diminishing Property

SSRN Electronic Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Choi, Lones Smith
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Solution property preserving reconstruction for finite volume scheme: a boundary variation diminishing+multidimensional optimal order detection framework [PDF]

International Journal for Numerical Methods in Fluids, 2019
SummaryThe purpose of this work is to build a general framework to reconstruct the underlying fields within a finite volume (FV) scheme solving a hyperbolic system of PDEs (Partial Differential Equations). In an FV context, the data are piecewise constants per computational cell and the physical fields are reconstructed taking into account neighbor ...
Siengdy Tann, Xi Deng, Yuya Shimizu, Raphaël Loubère, Feng Xiao   +4 more
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Dynamical Systems With a Cyclic Sign Variation Diminishing Property [PDF]

IEEE Transactions on Automatic Control, 2019
Several studies analyzed certain nonlinear dynamical systems by showing that the cyclic number of sign variations in the vector of derivatives is an integer-valued Lyapunov function. These results are based on direct analysis of the dynamical equation satisfied by the vector of derivatives, i.e. the variational system.
Tsuff Ben Avraham, Guy Sharon, Yoram Zarai, Michael Margaliot   +3 more
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Variation diminishing properties of Bernstein polynomials on triangles

Journal of Approximation Theory, 1987
Let T be a triangle, \(f: T\to R\), \(B_ n(f,T)=Bn(f)\) the Bernstein polynomial of degree n and \(\{\hat f{}_ n\}\) the net of Bézier of order n for f on T. Let \(V(f,T)=\int_{T}(f^ 2_ x+f^ 2_ y)^{1/2} dT\) and \(V_ 1(f,T)=\int_{T}(f^ 2_{xx}+2f^ 2_{xy}+f^ 2_{yy})^{1/2} dT.\) Then the following results hold: 1) For any \(n\geq 1\) we have \(V_ 1(B_ n(f)
T. N. T. Goodman
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Variation Diminishing Properties of Bernstein Polynomials on a Tetrahedron

Journal of Approximation Theory, 1994
The authors extend to \(\mathbb{R}^ d\) various definitions of the notions of total variation of a function \(f\) defined on a simplex. The original definitions were given by \textit{T. N. T. Goodman} for functions defined on a triangle [see J. Approximation Theory 50, 111-126 (1987; Zbl 0618.41007) and Constructive Approximation 3, 297-305 (1987; Zbl ...
Arvind Bhatt, A. Ojha
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A geometric proof for the variation diminishing property of B-spline approximation

Journal of Approximation Theory, 1983
AbstractA geometric proof for the variation diminishing property of B-spline approximation is given. The proof is based primarily upon a generalized form of the de Boor-Cox algorithm and the intuitively obvious fact that piecewise linear interpolation is variation diminishing. Previous proofs [4, 8] employed the mathematical methods of total positivity,
Jeffrey M. Lane, Richard F. Riesenfeld
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Convexity and variation diminishing property for Bernstein polynomials in higher dimensions [PDF]

Banach Center Publications, 1989
Marek Beśka
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A Rational Quadratic Trigonometric Spline (RQTS) as a Superior Surrogate to Rational Cubic Spline (RCS) with the Purpose of Designing

Applied Sciences, 2022
A key technique for modeling 2D objects is built using a Bézier-like rational quadratic trigonometric function with two form parameters. Since they are generated employing weights, the suggested rational quadratic trigonometric spline curve schemes are ...
Shamaila Samreen, Muhammad Sarfraz, Nabila Jabeen, Saad Althobaiti, Abdullah Mohamed   +4 more
doaj   +1 more source