A characterization of M. W. Wilson's criterion for nonnegative expansions of orthogonal polynomials
Author:
Charles A. Micchelli
Journal:
Proc. Amer. Math. Soc. 71 (1978), 69-72
MSC:
Primary 42A52
DOI:
https://doi.org/10.1090/S0002-9939-1978-0481893-7
MathSciNet review:
0481893
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Abstract: Given a nonnegative function , M. W. Wilson observed that if
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then the polynomials









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- [3] William F. Trench, Proof of a conjecture of Askey on orthogonal expansions with positive coefficients, Bull. Amer. Math. Soc. 81 (1975), no. 5, 954–956. MR 374798, https://doi.org/10.1090/S0002-9904-1975-13912-7
- [4] David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
- [5] M. Wayne Wilson, Nonnegative expansions of polynomials, Proc. Amer. Math. Soc. 24 (1970), 100–102. MR 287244, https://doi.org/10.1090/S0002-9939-1970-0287244-8
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0481893-7
Article copyright:
© Copyright 1978
American Mathematical Society