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Spectral Shape Preserving Approximation

Research paper by Vladimir S. Chelyshkov

Indexed on: 28 Jan '18Published on: 28 Jan '18Published in: arXiv - Mathematics - Numerical Analysis



Abstract

We introduce an algorithm of joint approximation of a function and its first derivative by alternative orthogonal polynomials on the interval [0,1].The algorithm exhibits properties of shape preserving approximation for the function. A weak formulation of approximation is presented. An example on shape preserving extrapolation is given. The weak form is reduced for approximation on a discrete set of abscissas.