Results 41 to 50 of about 954 (69)
The Mystery of the Shape Parameter [PDF]
arXiv, 2010 In this paper we present criteria for the optimal choice of the shape parameter c contained in the famous radial function multiquadrics.
arxiv
The Shape Parameter in the Gaussian Function [PDF]
arXiv, 2010 In this paper we explore the influence of the shape parameter in the gaussian function on error estimates and present a set of criteria for its optimal choice.
arxiv
Well separated spherical designs [PDF]
arXiv, 2013 For each $N\ge C_dt^d$ we prove the existence of a well separated spherical $t$-design in the sphere $S^d$ consisting of $N$ points, where $C_d$ is a constant depending only on $d$.
arxiv
On the Convergence of Regular Families of Cardinal Interpolators [PDF]
arXiv, 2013 In this note a general way to develop a cardinal interpolant for $l^2$-data on the integer lattice $Z^n$ is shown. Further, a parameter is introduced which allows one to recover the original Paley-Weiner function from which the data came.
arxiv
Remez-type inequalities for the hyperbolic cross polynomials [PDF]
arXiv, 2016 In this paper we study the Remez-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between the Remez and Nikolskii inequalities for individual functions and its applications are discussed.
arxiv
Molecules associated to Hardy spaces with pointwise variable anisotropy [PDF]
arXiv, 2016 In this paper we introduce molecules associated to Hardy spaces with pointwise variable anisotropy, and prove that each molecule can be represented as a sum of atoms.
arxiv
The best approximation of functions from anisotropic Nikol'skii-Besov classes defined in $\mathbb{R}^d$ [PDF]
arXiv, 2017 We establish the exact-order estimates of the best approximations of the functions from anisotropic Nikol'skii-Besov classes of several variables by entire functions in the Lebesgue spaces.
arxiv
ESPRIT for multidimensional general grids [PDF]
arXiv, 2017 We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-standard domains (i.e going beyond multi-rectangles).
arxiv
Discrete norming inequalities on sections of sphere, ball and torus [PDF]
arXiv, 2018 By discrete trigonometric norming inequalities on subintervals of the period, we construct norming meshes with optimal cardinality growth for algebraic polynomials on sections of sphere, ball and torus.
arxiv
Polynomial spaces reproduced by elliptic scaling functions [PDF]
arXiv, 2013 The Strang-Fix conditions are necessary and sufficient to reproduce spaces of algebraic polynomials up to some degree by integer shifts of compactly supported functions. W. Dahmen and Ch. Micchelli (Linear Algebra Appl. 52/3:217-234, 1983) introduced a generalization of the Strang-Fix conditions to affinely invariant subspaces of higher degree ...
arxiv