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Proceedings of the American Mathematical Society
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Nonnegative expansions of polynomials

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Abstract

Consider expanding a set of orthogonal polynomials {gi(x)} as a combination of orthogonal polynomials {pi(x)}. A sufficient condition to ensure that the expansion coefficients are nonnegative is derived. It is shown by counter-example that it is not a necessary condition. © 1970 American Mathematical Society.

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Proceedings of the American Mathematical Society

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