Nonnegative Expansions of Polynomials
- 1 January 1970
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 24 (1), 100-102
- https://doi.org/10.2307/2036707
Abstract
Consider expanding a set of orthogonal polynomials <!-- MATH $\{ {q_i}(x)\}$ --> as a combination of orthogonal polynomials <!-- MATH $\{ {p_i}(x)\}$ --> . 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.
Keywords
This publication has 2 references indexed in Scilit:
- Interpolation and ApproximationMathematics of Computation, 1966
- Orthogonal Polynomials. By G. Szegö. Pp. ix, 401. $6. 1939. American Mathematical Society Colloquium Publications, 23. (American Mathematical Society, New York)The Mathematical Gazette, 1940