Results 1 to 10 of about 487 (44)
Multidimensional sampling-Kantorovich operators in BV-spaces
Open Mathematics, 2023 The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels.
Angeloni Laura, Vinti Gianluca
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t-Design Curves and Mobile Sampling on the Sphere
Forum of Mathematics, Sigma, 2023 In analogy to classical spherical t-design points, we introduce the concept of t-design curves on the sphere. This means that the line integral along a t-design curve integrates polynomials of degree t exactly.
Martin Ehler, Karlheinz Gröchenig
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On concentrators and related approximation constants [PDF]
, 2013 Pippenger ([Pippenger, 1977]) showed the existence of $(6m,4m,3m,6)$-concentrator for each positive integer $m$ using a probabilistic method. We generalize his approach and prove existence of $(6m,4m,3m,5.05)$-concentrator (which is no longer regular ...
Bondarenko, A. +2 more
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About the B-concavity of functions with many variables
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The paper deals with the study of the property of B-concavity and BB concavity in the bi-dimesional case and with the relation between these properties and the Bernstein operators defined on a simplex.
Meleşteu Alexandra Diana
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Multidimensional sampling theorems for multivariate discrete transforms
Advances in Difference Equations, 2021 This paper is devoted to the establishment of two-dimensional sampling theorems for discrete transforms, whose kernels arise from second order partial difference equations.
H. A. Hassan
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APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS
Forum of Mathematics, Sigma, 2020 In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and relies only on orthogonal
BEN ADCOCK, DAAN HUYBRECHS
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A novel recursive method to reconstruct multivariate functions on the unit cube
Open Mathematics, 2017 Due to discontinuity on the boundary, traditional Fourier approximation does not work efficiently for d−variate functions on [0, 1]d. In this paper, we will give a recursive method to reconstruct/approximate functions on [0, 1]d well. The main process is
Zhang Zhihua
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Approximations by multivariate sublinear and Max-product operators under convexity
Demonstratio Mathematica, 2018 Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
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Numerical hyperinterpolation over nonstandard planar regions [PDF]
, 2017 We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a ...
Sommariva, Alvise, Vianello, Marco
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Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres [PDF]
, 2015 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be ...
Barbosa, Victor S., Menegatto, Valdir A.
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