Abstract
Construction of Lacunary Sextic spline function Interpolation and their Applications
Highlights
Spline functions are well known and are widely used for practical approximation of functions or more commonly for fitting smooth curvesConstruction of Lacunary Sextic spline function Interpolation and their ...through knot points and have the advantage over many approximation and interpolation techniques in that they are computational feasible
There are a great number of techniques developed for various instances of this problem, such as polynomial regression, wavelets, and from the view point of differential geometry, developable surfaces are composed of general cylinders and cones (see e.g. Yang (2006); Bawa (2005); Kahn and Aziz (2003) and Kurt (1991)) studied the algorithm for cardinal interpolation based on a representation of the Fourier transform of the fundamental interpolation
We derive an algorithm to solve a special lacunary interpolation problem by using sextic spline function, when the function values and its second and fourth derivatives are known at a set of nodes, and we show that this type of construction of spline functions which interpolates the lacunary data is useful in approximating complicate function and their derivatives on the given interval
Summary
Construction of Lacunary Sextic spline function Interpolation and their. through knot points and have the advantage over many approximation and interpolation techniques in that they are computational feasible. We derive an algorithm to solve a special lacunary interpolation problem by using sextic spline function, when the function values and its second and fourth derivatives are known at a set of nodes, and we show that this type of construction of spline functions which interpolates the lacunary data is useful in approximating complicate function and their derivatives on the given interval. The applicability of this spline functions in practical applications checked by one numerical example.
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