AbstractThe 2m — 1'st degree 1-periodic smoothing splines for a fixed data vector y possess a limit as m approaches infinity if and only if the smoothing parameter approaches zero essentially as t2m. This limit, when it exists, is the least squares projection of the (proximal) trigonometric interpolant onto the trigonometric polynomials of degree at most [12πt], with respect to the (semi-) inner product given by evaluation at the data points
Abstract—In this paper some of the relationships between op-timal control and statistics are examine...
AbstractThe knot positions of a periodic quadratic spline function which furnishes the smoothest int...
AbstractIn the first paper of this series, Lg-spline theory was extended to the vector-valued interp...
AbstractIn the reference [3, 126] the author conjectured the following result: Let Sn(x) be the peri...
AbstractLet (xv, yv), v 1, …, k be points of interpolation with 0 < x1 < … < xk ⩽ 2π and let 1 < p...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
AbstractWe prove the following theorem concerning cubic periodic spline interpolation: If lj denote ...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
The issue of constructing periodic smoothing splines has been recently formulated as a controlled tw...
In this paper, a method is developed for estimating the optimal smoothing parameter for periodic con...
We study a C(1) parabolic and a C() quartic spline which are determined by solution of a tridiagonal...
AbstractWe define a trigonometric spline convolution operator and give a quantitative estimate for t...
summary:The extremal property of quadratic splines interpolating the first derivatives is proved. Qu...
In the first part of this paper we apply a saddle point theorem from convex analysis to show that va...
Abstract—In this paper some of the relationships between op-timal control and statistics are examine...
AbstractThe knot positions of a periodic quadratic spline function which furnishes the smoothest int...
AbstractIn the first paper of this series, Lg-spline theory was extended to the vector-valued interp...
AbstractIn the reference [3, 126] the author conjectured the following result: Let Sn(x) be the peri...
AbstractLet (xv, yv), v 1, …, k be points of interpolation with 0 < x1 < … < xk ⩽ 2π and let 1 < p...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
AbstractWe prove the following theorem concerning cubic periodic spline interpolation: If lj denote ...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
The issue of constructing periodic smoothing splines has been recently formulated as a controlled tw...
In this paper, a method is developed for estimating the optimal smoothing parameter for periodic con...
We study a C(1) parabolic and a C() quartic spline which are determined by solution of a tridiagonal...
AbstractWe define a trigonometric spline convolution operator and give a quantitative estimate for t...
summary:The extremal property of quadratic splines interpolating the first derivatives is proved. Qu...
In the first part of this paper we apply a saddle point theorem from convex analysis to show that va...
Abstract—In this paper some of the relationships between op-timal control and statistics are examine...
AbstractThe knot positions of a periodic quadratic spline function which furnishes the smoothest int...
AbstractIn the first paper of this series, Lg-spline theory was extended to the vector-valued interp...
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