Given a set of points x(i), i=0,...,n on [-1, 1] and the corresponding values y(i), i=0,...,n of a 2-periodic function y(x), supplied in some way by interpolation or approximation, we describe a simple method that by doubling iteratively this original set, produces in the limit a smooth function. The analysis of the interpolation error is given.
An interpolant defined by subdivision and the analysis of the error
DE MARCHI, STEFANO;
2002
Abstract
Given a set of points x(i), i=0,...,n on [-1, 1] and the corresponding values y(i), i=0,...,n of a 2-periodic function y(x), supplied in some way by interpolation or approximation, we describe a simple method that by doubling iteratively this original set, produces in the limit a smooth function. The analysis of the interpolation error is given.
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