Alternative Orthogonal Polynomials

Mathematics – Numerical Analysis

Scientific paper

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5 pages

Scientific paper

The double-direction orthogonalization algorithm is applied to construct
sequences of polynomials, which are orthogonal over the interval [0,1]with the
weighting function 1. Functional and recurrent relations are derived for the
sequences that are the result of the inverse orthogonalization procedure.
Quadratures, generated by the sequences are described.

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