Article ID Journal Published Year Pages File Type
6419784 Applied Mathematics and Computation 2016 14 Pages PDF
Abstract

In this paper we present a polynomial basis based on two-point osculatory interpolation. By exploring some interesting properties of this basis, we derive the smoothness conditions. These conditions can be used for the construction of smooth splines with a low polynomial degree in terms of data points. As an application we give an efficient method for constructing composite splines with shape parameters.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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