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On Zeros of Derivatives of Polynomials

Published online by Cambridge University Press:  20 November 2018

A. Meir  and
A. Sharma
A. Meir
Affiliation:
University of Alberta Edmonton
A. Sharma
Affiliation:
University of Alberta Edmonton
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In an earlier paper [2], we raised the question of determining the minimum span of the kth derivative of a polynomial with real zeros having a given span. More precisely let πn, s denote the class of polynomials , with x1 ≤ x2 ≤ … ≤ xn, and the span σ(P) ≡xn - x1 = 2s (fixed).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 3 , August 1968 , pp. 443 - 445
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Ahmad, M., On polynomials with real zeros. To appear in Canad. Math. Bull.Google Scholar
2. Meir, A. and Sharma, A., Span of derivatives of polynomials. Amer. Math. Monthly 74 (1967) 527-531.Google Scholar
3. Meir, A. and Sharma, A., Span of linear combinations of derivatives of polynomials. Duke Math. J. 34 (1967) 123-130.Google Scholar
4. Robinson, R.M., On the spans of derivatives of polynomials. Amer. Math. Monthly 71 (1964) 504-508.Google Scholar