Optimal Piecewise Polynomial L2Approximation of Functions of One and Two Variables

Authors:
T. Pavlidis
Affiliations:
Department of Electrical Engineering, Princeton University
Venue:
IEEE Transactions on Computers
Year:
1975

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Abstract

The problem of piecewise polynomial L2 approximation with variable boundaries is considered. Necdssary and sufficient conditions for local optima are derived. These suggest simple functional iteration, algorithms for locating the boundaries.