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Global smoothness preservation and the variation-diminishing property [PDF]
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 +4 more
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A geometric proof for the variation diminishing property of B-spline approximation [PDF]
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,
Richard Riesenfeld
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Dynamical Systems With a Cyclic Sign Variation Diminishing Property [PDF]
IEEE Transactions on Automatic Control, 2020 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.
Guy Sharon +2 more
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Variation diminishing-type properties for multivariate sampling Kantorovich operators [PDF]
Bolletino 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.
Danilo Costarelli +2 more
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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 +4 more
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Sensors, 2022 This paper proposes a single-stage three-phase modular flyback differential inverter (MFBDI) for medium/high power solar PV grid-integrated applications.
Ahmed Ismail M. Ali +4 more
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Numerical Approach of the Equilibrium Solutions of a Global Climate Model
Mathematics, 2020 We consider a coupled model surface-deep ocean effect, where an Energy Balance Model (EBM) is used for modelling the surface temperature and a two-dimensional heat equation represents the evolution of the temperature of the deep ocean. Although the model
Arturo Hidalgo, Lourdes Tello
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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 ...
Bhatt, A., Ojha, A.
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An application of flux difference splitting scheme in river-network model
Shui kexue jinzhan, 2013 The discrete procedure of non-conservative St. Venant equations is carried out by making use of the flux difference splitting scheme. In order to maintain the same dispersed form,characteristic theory is introduced into boundary points discretization ...
XIANG Xiaohua +3 more
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A hybrid numerical scheme for extended Boussinesq equations
Shui kexue jinzhan, 2013 To efficiently solve the extended Boussinesq equations,a hybrid finite-difference and finite-volume scheme is developed. The one-dimensional governing equations are kept in conservation form.
FANG Kezhao +3 more
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