Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
Paper
Nonnegative expansions of polynomials
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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