Results 11 to 20 of about 65 (65)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Statistical Korovkin-type theorem for monotone and sublinear operators
, 2023 In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
IANCU, Ionu¸t T., Ionut T. Iancu
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Fast evaluation of nonlinear functionals of tensor product wavelet expansions [PDF]
, 2010 For a nonlinear functional f, and a function u from the span of a set of tensor product interpolets, it is shown how to compute the interpolant of f (u) from the span of this set of tensor product interpolets in linear complexity, assuming that the index
Christoph Schwab +5 more
core +1 more source
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.
doaj +1 more source
On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]
, 2014 AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
core