Results 11 to 20 of about 487 (44)
Shape‐preserving multivariate polynomial approximation in C[−1,1]m
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 325-333, 2004., 2004 We construct multivariate polynomials attached to a function f of m variables, m ≥ 2 , which approximate f with Jackson‐type rate involving a multivariate Ditzian‐Totik ω2φ‐modulus and preserve some natural kinds of multivariate monotonicity and convexity of function.
Ciprian S. Gal, Sorin G. Gal
wiley +1 more source
Tensor product approximations of high dimensional potentials [PDF]
, 2009 The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this approach with modern methods of structured tensor product approximations.
Lanzara, Flavia +2 more
core +3 more sources
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
core +1 more source
On two-dimensional shape-preserving approximation [PDF]
, 2010 In this paper we investigate a problem of approximation of continuous mappings by smooth mappings with nonnegative ...
Radchenko, Danylo
core
Wendland functions with increasing smoothness converge to a Gaussian
, 2013 The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A. +2 more
core +1 more source
, 2007 The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural function
F.J. Narcowich +8 more
core +1 more source
Irregular C2 surface construction using bi-polynomial rectangular patches [PDF]
, 1991 The construction of C2 surfaces using bi-polynomial parametric rectangular patches is studied. In particular, the analy- sis of the C2 continuity conditions for the case of n patches meeting at an n-vertex is ...
Gregory, JA, Zhou, J
core
The Breadth-one $D$-invariant Polynomial Subspace [PDF]
, 2014 We demonstrate the equivalence of two classes of $D$-invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of the breadth-one $D$-invariant subspace.
Jiang, Xue, Zhang, Shugong
core
On polynomials of least deviation from zero in several variables
, 2004 A polynomial of the form $x^\alpha - p(x)$, where the degree of $p$ is less than the total degree of $x^\alpha$, is said to be least deviation from zero if it has the smallest uniform norm among all such polynomials.
Xu, Yuan
core +2 more sources
Tractability of the approximation of high-dimensional rank one tensors [PDF]
, 2014 We study the approximation of high-dimensional rank one tensors using point evaluations and consider deterministic as well as randomized algorithms.
Novak, Erich, Rudolf, Daniel
core