Add to ORKGThe approximating properties of the interpolating D*99m-splines in many variables on the non-regular grids are studied. The investigation method has been based on the theory of differentiated functions of several variables, property on the exponential decrease of the fundamental spline and inequalities of Nikolsky type for splines. The order-accurate evaluation of the approximation error by the splines of the functions from Sobolev class together with products in the different metrics have been obtained. The results can be used by the specialists on the theory of functions at the institutes of Russian Academy of Sciences and State universities.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian F...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
Abstract: The normal spline method is developed for reconstruction of multi-dimensional dependencies...
AbstractWe study the reconstruction of a function defined on the real line from given, possibly nois...
AbstractThis paper is concerned with interpolation by multidimensional periodic splines associated w...
AbstractThis paper is concerned with interpolation of real functions on compact intervals by nonline...
For a fixed, continuous, periodic kernel K, an sk--spline is a function of the form sk(x) = d+ P n ...
When interpolating data with certain regularity, spline functions are useful. They are defined as pi...
AbstractWe propose a periodic B-spline quasi-interpolation for multivariate functions on sparse grid...
Fractal methodology provides a general setting for the understanding of realworld phenomena. In part...
AbstractConvergence properties of quadratic spline interpolation of continuous functions that does n...
AbstractFor a fixed, continuous, periodic kernelK, an sk-spline is a function of the form sk(x)=c0+∑...
In the case of uniform grids, the error of the spline interpolant of a function defined on R has bee...
AbstractThe question of adaptive mesh generation for approximation by splines has been studied for a...
This textbook is intended to supplement the classical theory of uni- and multivariate splines and th...
AbstractIn this paper the quadratic spline interpolation with coinciding interpolation and spline gr...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
Abstract: The normal spline method is developed for reconstruction of multi-dimensional dependencies...
AbstractWe study the reconstruction of a function defined on the real line from given, possibly nois...
AbstractThis paper is concerned with interpolation by multidimensional periodic splines associated w...
AbstractThis paper is concerned with interpolation of real functions on compact intervals by nonline...
For a fixed, continuous, periodic kernel K, an sk--spline is a function of the form sk(x) = d+ P n ...
When interpolating data with certain regularity, spline functions are useful. They are defined as pi...
AbstractWe propose a periodic B-spline quasi-interpolation for multivariate functions on sparse grid...
Fractal methodology provides a general setting for the understanding of realworld phenomena. In part...
AbstractConvergence properties of quadratic spline interpolation of continuous functions that does n...
AbstractFor a fixed, continuous, periodic kernelK, an sk-spline is a function of the form sk(x)=c0+∑...
In the case of uniform grids, the error of the spline interpolant of a function defined on R has bee...
AbstractThe question of adaptive mesh generation for approximation by splines has been studied for a...
This textbook is intended to supplement the classical theory of uni- and multivariate splines and th...
AbstractIn this paper the quadratic spline interpolation with coinciding interpolation and spline gr...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
Abstract: The normal spline method is developed for reconstruction of multi-dimensional dependencies...
AbstractWe study the reconstruction of a function defined on the real line from given, possibly nois...