In [4], Birkhoff and de Boor improved on earlier results by Ahlberg and Nilson [l] concerning the convergence of cubic spline interpolants to a smooth interpoland. Shortly thereafter, Sharma and Meir [20] gave much more general results using much simpler means of proo
.M Prenter defines a cubic Spline function in an interval [a, b] as a piecewise cubic polynomial wh...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
The third order and the uniform cubic spline are defined and shown to have O(h3) and O(hA) convergen...
AbstractA class of end conditions is derived for cubic spline interpolation at unequally spaced knot...
A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These c...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
AbstractWe consider the problem of deriving accurate end conditions for cubic spline interpolation a...
AbstractThis paper is concerned with the cubic spline-on-spline procedure considered by Dolezal and ...
AbstractA class of end conditions is derived for cubic spline interpolation at unequally spaced knot...
Let s be a cubic spline, with equally spaced knots on [a,b], interpolating a given function y at the...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
AbstractConvergence of cubic spline interpolation for discontinuous functions are investigated. It i...
AbstractIt is shown that if the knot sequence t:= (ti)−∞∞ satisfies (i) for some m ϵ ¦ 1, (3 + √5)2)...
AbstractWe consider the problem of deriving accurate end conditions for cubic spline interpolation a...
AbstractGiven a monotone function g ϵ H2[0, 1] and a sequence of meshes sn such that limn→ ∞|sn | = ...
.M Prenter defines a cubic Spline function in an interval [a, b] as a piecewise cubic polynomial wh...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
The third order and the uniform cubic spline are defined and shown to have O(h3) and O(hA) convergen...
AbstractA class of end conditions is derived for cubic spline interpolation at unequally spaced knot...
A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These c...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
AbstractWe consider the problem of deriving accurate end conditions for cubic spline interpolation a...
AbstractThis paper is concerned with the cubic spline-on-spline procedure considered by Dolezal and ...
AbstractA class of end conditions is derived for cubic spline interpolation at unequally spaced knot...
Let s be a cubic spline, with equally spaced knots on [a,b], interpolating a given function y at the...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
AbstractConvergence of cubic spline interpolation for discontinuous functions are investigated. It i...
AbstractIt is shown that if the knot sequence t:= (ti)−∞∞ satisfies (i) for some m ϵ ¦ 1, (3 + √5)2)...
AbstractWe consider the problem of deriving accurate end conditions for cubic spline interpolation a...
AbstractGiven a monotone function g ϵ H2[0, 1] and a sequence of meshes sn such that limn→ ∞|sn | = ...
.M Prenter defines a cubic Spline function in an interval [a, b] as a piecewise cubic polynomial wh...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
The third order and the uniform cubic spline are defined and shown to have O(h3) and O(hA) convergen...