Výsledky vyhledávání - Interpolation in approximation theory

On the monotonicity of left and right Riemann sums Autor Bouthat, Ludovick

“… Additionally, we present a new insightful proof of a fundamental theorem related to these sums using tools from the theory of majorization…”
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Construction and approximation properties of exact neural network interpolation operators activated by entire functions Autor Yu, Dansheng

“…The construction and approximation properties of exact neural network interpolation are the important and challenging topics on approximation by neural networks…”
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Interpolation and Extrapolation Optimal Designs 1: Polynomial Regression and Approximation Theory Autor Giorgio Celant, Michel Broniatowski

“… After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link…”
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Approximation spaces, limiting interpolation and Besov spaces Autor Cobos, Fernando, Domínguez, Óscar

“…With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions…”
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On planar polynomial geometric interpolation Autor Kozak, Jernej

“…In the paper, the planar polynomial geometric interpolation of data points is revisited…”
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Pointwise approximation with quasi-interpolation by radial basis functions Autor Buhmann, Martin D., Dai, Feng

“…We consider radial basis function approximations using at first a localization of the basis functions known as quasi-interpolation…”
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Combination of compressed sensing and the optimum interpolation approximation: Theory and application for fast 2D NMR measurement Autor Kida, Yuichi, Kida, Takuro

“…) method and the optimum interpolation approximation. We define a weighting function that has the same waveform of the 2D NMR spectrum reconstructed by the CS method…”
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Symmetric contours and convergent interpolation Autor Yattselev, Maxim L.

“…The essence of Stahl–Gonchar–Rakhmanov theory of symmetric contours as applied to the multipoint Padé…”
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Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels Autor Bejancu, Aurelian

“…For h>0 and positive integers m, d, such that m>d/2, we study non-stationary interpolation at the points of the scaled grid hZd via the Matérn kernel Φm,d…”
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Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother Autor Vank, Petr, Pultarová, Ivana

“… Unlike in our previous theoretical results, where the smoother given by the linear inverse power method is assumed, we prove nonlinear speed-up when the approximation becomes close to the exact solution…”
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Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation Autor Hangelbroek, T., Narcowich, F. J., Ward, J. D.

“…This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting…”
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Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions Autor Hamm, Keaton

“…∈Z is a Riesz basis for L2[−π,π]. Given such a sequence and a parameter 0<h≤1, we consider interpolation of functions g∈W2k(R) at the set (hxj)j…”
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Intrinsic interpolation, near-circularity and maximal convergence Autor Blatt, Hans-Peter

“…)<∞, is fixed and if mn(σ) denotes the number of interpolation points of pn to f in Eσ with normalized counting measure μσ…”
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Max-product neural network and quasi-interpolation operators activated by sigmoidal functions Autor Costarelli, Danilo, Vinti, Gianluca

“…The max-product neural network (NN) and quasi-interpolation (QI) operators are here introduced and studied…”
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Approximation of rough functions Autor Barnsley, M.F., Harding, B., Vince, A., Viswanathan, P.

“… Connections and consequences in the theory of fractal interpolation, approximation theory, and Fourier analysis are established…”
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An Approximation Algorithm for Optimal Piecewise Linear Interpolations of Bounded Variable Products Autor Bärmann, Andreas, Burlacu, Robert, Hager, Lukas, Kutzer, Katja

“… More precisely, our aim is to minimize the number of simplices in the triangulation underlying the interpolation, while respecting a prescribed approximation error…”
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Interpolation and approximation in Taylor spaces Autor Zwicknagl, Barbara, Schaback, Robert

“… Since the theory of kernel-based interpolation and approximation is well-established, this leads to a variety…”
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Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions Autor Johnson, Michael J.

“… (connecting one interpolation point to the next) is an s-curve. Being correlated with the fairness of an interpolating curve, this property is desirable and we conjecture…”
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Invertible and Fredholm operators on interpolation scales Autor Asekritova, Irina, Kruglyak, Natan, Mastyło, Mieczysław

“…We investigate the behaviour of invertible and Fredholm operators on interpolation scales constructed via a family of interpolation functors {Fθ}θ∈(0,1…”
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The structure of a second-degree D-invariant subspace and its application in ideal interpolation Autor Jiang, Xue, Zhang, Shugong

“… As an application for ideal interpolation, we solve the discrete approximation problem for δzP2(D) under certain conditions…”
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