AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the knots. We establish an interpolant which can interpolate at any point of the partition and also matches the area with certain mean over a greater partition length. A non-existence case has also been obtained
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
AbstractWe present a method to construct convex cubic C1-splines which interpolate a given convex da...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
AbstractSeveral properties of a class of interpolatory splines are studied. This class is a generali...
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...
AbstractLet [0, 1] be partitioned into subintervals h1,…, hn. Let Pn be an associated cubic spline i...
AbstractWe consider the problem of deriving accurate end conditions for cubic spline interpolation a...
AbstractA constructive proof is given of the existence of a local spline interpolant which also appr...
AbstractThe error bounds considered are of the form ∥f(r) − s(r) ∥∞ ⩽ Cr ∥f(4) ∥∞ h4 − r, where s is...
AbstractThis paper is concerned with interpolation of real functions on compact intervals by nonline...
AbstractError bounds are obtained for quadratic splines satisfying a mean averaging condition with r...
AbstractPeriodic even degree spline interpolants of a function f at the knots are considered. Existe...
The purpose of this paper is to review the fundamentals of interpolating cubic splines. We begin by ...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
AbstractWe present a method to construct convex cubic C1-splines which interpolate a given convex da...
AbstractWe study cubic spline interpolation with less restrictive continuity requirements at the kno...
AbstractSeveral properties of a class of interpolatory splines are studied. This class is a generali...
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...
AbstractLet [0, 1] be partitioned into subintervals h1,…, hn. Let Pn be an associated cubic spline i...
AbstractWe consider the problem of deriving accurate end conditions for cubic spline interpolation a...
AbstractA constructive proof is given of the existence of a local spline interpolant which also appr...
AbstractThe error bounds considered are of the form ∥f(r) − s(r) ∥∞ ⩽ Cr ∥f(4) ∥∞ h4 − r, where s is...
AbstractThis paper is concerned with interpolation of real functions on compact intervals by nonline...
AbstractError bounds are obtained for quadratic splines satisfying a mean averaging condition with r...
AbstractPeriodic even degree spline interpolants of a function f at the knots are considered. Existe...
The purpose of this paper is to review the fundamentals of interpolating cubic splines. We begin by ...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
summary:Natural cubic interpolatory splines are known to have a minimal $L_2$-norm of its second der...
AbstractWe present a method to construct convex cubic C1-splines which interpolate a given convex da...
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