Zero-diminishing linear transformations
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- by Thomas Craven and George Csordas PDF
- Proc. Amer. Math. Soc. 80 (1980), 544-546 Request permission
Abstract:
This paper solves an open problem of Karlin. We consider linear transformations defined on the set of all polynomials with real coefficients and give a complete characterization of the transformations with the property that they maintain or reduce the number of real zeros of each polynomial.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 544-546
- MSC: Primary 12D10; Secondary 30C15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0587923-5
- MathSciNet review: 587923