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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Nonnegative expansions of polynomials


Author: M. Wayne Wilson
Journal: Proc. Amer. Math. Soc. 24 (1970), 100-102
MSC: Primary 42.15
MathSciNet review: 0287244
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Abstract: Consider expanding a set of orthogonal polynomials $ \{ {q_i}(x)\} $ as a combination of orthogonal polynomials $ \{ {p_i}(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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0287244-8
PII: S 0002-9939(1970)0287244-8
Keywords: Expansions in orthogonal polynomials
Article copyright: © Copyright 1970 American Mathematical Society