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End conditions for interpolatory cubic splines with unequally spaced knots
(1980)
A class of end conditions is derived for cubic spline interpolation at unequally spaced knots. These conditions are in terms of function values at the knots and lead to 0 (h4) convergence uniformly on the interval of ...
A class of piecewise-cubic interpolatory polynomials
(1980)
A new class of C1 piecewise-cubic interpolatory polynomials is defined, by generalizing the definition of cubic X-splines given recently by Clenshaw & Negus (1978). It is shown that this new class contains a number of ...
A Class of C2Piecewise Quintic Polynomials
(1980)
A new class of C2piecewise quintic interpolatory polynomials is defined. It is shown that this new class contains a number of interpolatory functions which present practical advantages, when compared with the conventional ...