Results 1 to 10 of about 954 (69)
On two-dimensional shape-preserving approximation [PDF]
arXiv, 2010 In this paper we investigate a problem of approximation of continuous mappings by smooth mappings with nonnegative Jacobian.
Radchenko, Danylo
arxiv +3 more sources
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
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
core +6 more sources
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
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
Direct and converse results in the Ba space for Jackson-Matsuoka polynomials on the unit sphere
Journal of Inequalities and Applications, 2014 In this paper, we introduce K-functional and modulus of smoothness of the unit sphere in the Ba space, establish their relations and obtain the direct and converse theorem of approximation in the Ba space for Jackson-Matsuoka polynomials on the unit ...
Guo Feng, Yuan Feng
semanticscholar +2 more sources
The smoothing effect of integration in Rd and the ANOVA decomposition
Mathematics of Computation, 2013 This paper studies the ANOVA decomposition of a d-variate function f defined on the whole of Rd, where f is the maximum of a smooth function and zero (or f could be the absolute value of a smooth function).
Michael Griebel, F. Kuo, Ian H. Sloan
semanticscholar +1 more source