Given a set of points x(i), i=0,...,n on [-1, 1] and the corresponding values y(i), i=0,...,n of a 2-periodic function y(x), supplied in some way by interpolation or approximation, we describe a simple method that by doubling iteratively this original set, produces in the limit a smooth function. The analysis of the interpolation error is given
The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-c...
Consider the set of equidistant nodes in [0, 2π), θk:=k·2πn,k=0,⋯,n−1. For an arbitrary 2π–periodic ...
AbstractThe paper presents a bivariate subdivision scheme interpolating data consisting of univariat...
AbstractGiven a set of points xi, i=0,…,n on [−1,1] and the corresponding values yi, i=0,…,n of a 2-...
summary:It is well-known that the interpolation theory plays an important role in many fields of com...
AbstractLet (xv, yv), v 1, …, k be points of interpolation with 0 < x1 < … < xk ⩽ 2π and let 1 < p...
It is well-known that the interpolation theory plays an important role in many fields of computer vi...
By introducing the difference polynomial operator 2 1 ( hh p Δ, a kind of 2-periodic 2 1(,0 ( h
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
The paper addresses the problem of modeling a smooth contour interpolating a point series belonging ...
We investigate the convergence of the quasi-periodic interpolation on the entire interval $[-1,1]$ i...
AbstractThis paper is concerned with interpolation by multidimensional periodic splines associated w...
AbstractApproximating a function from its values f(xi) at a set of evenly spaced points xi through (...
AbstractThe four-point interpolatory subdivision scheme of Dubuc and its generalizations to irregula...
The paper considers convergence acceleration of the quasi-periodic and the quasi-periodic-rational i...
The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-c...
Consider the set of equidistant nodes in [0, 2π), θk:=k·2πn,k=0,⋯,n−1. For an arbitrary 2π–periodic ...
AbstractThe paper presents a bivariate subdivision scheme interpolating data consisting of univariat...
AbstractGiven a set of points xi, i=0,…,n on [−1,1] and the corresponding values yi, i=0,…,n of a 2-...
summary:It is well-known that the interpolation theory plays an important role in many fields of com...
AbstractLet (xv, yv), v 1, …, k be points of interpolation with 0 < x1 < … < xk ⩽ 2π and let 1 < p...
It is well-known that the interpolation theory plays an important role in many fields of computer vi...
By introducing the difference polynomial operator 2 1 ( hh p Δ, a kind of 2-periodic 2 1(,0 ( h
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
The paper addresses the problem of modeling a smooth contour interpolating a point series belonging ...
We investigate the convergence of the quasi-periodic interpolation on the entire interval $[-1,1]$ i...
AbstractThis paper is concerned with interpolation by multidimensional periodic splines associated w...
AbstractApproximating a function from its values f(xi) at a set of evenly spaced points xi through (...
AbstractThe four-point interpolatory subdivision scheme of Dubuc and its generalizations to irregula...
The paper considers convergence acceleration of the quasi-periodic and the quasi-periodic-rational i...
The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-c...
Consider the set of equidistant nodes in [0, 2π), θk:=k·2πn,k=0,⋯,n−1. For an arbitrary 2π–periodic ...
AbstractThe paper presents a bivariate subdivision scheme interpolating data consisting of univariat...
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