Algorithms for cardinal interpolation using box splines and radial basis functions.
An algorithm for biparabolic spline
The paper deals with the computation of suitably chosen parameters of a biparabolic spline (ot the tensor product type) on a rectangular domain. Some possibilities of choosing such local parameters (concentrated, dispersed parameters) are discussed. The algorithms for computation of dispersed parameters (using the first derivative representation) and concentraced parameters (using the second derivative representation) are given. Both these algorithms repeatedly use the one-dimensional algorithms....
An Approximation Theorem for Integrable Harmonic Vector Fields.
An Implementation of the Method of Ermakov and Zolotukhin for Multidimensional Integration and Interpolation.
Analysis on the unit ball and on the simplex.
Approximate smoothings of locally Lipschitz functionals
The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in , is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.
Approximate solutions of equations defined by complex spherical multiplier operators.
Approximation by double Walsh polynomials.
Approximation by Hill functions. II.
Approximation in L... Sobolev Spaces on the 2-Sphere by Quasi-Interpolation.
Approximation of -Continuous and -Differentiable functions by GBS operators of Bernstein bivariate polynomials.
Approximation of -continuous and -differentiable functions by GBS operators defined by infinite sum.
Approximation of domains with Lipschitzian boundary
Approximation on the sphere by weighted Fourier expansions.
Approximation Power of Smooth Bivariate PP Functions.
Asymptotic estimates for best and stepwise approximation of convex bodies II.
Asyptotic Behaviour of Multiperiodic Functions G(x) = ... g (x/2...).
Attenuation Factors in Multivariate Fourier Analysis.