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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a problem of Turan about polynomials
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by R. Pierre and Q. I. Rahman PDF
Proc. Amer. Math. Soc. 56 (1976), 231-238 Request permission

Abstract:

It is shown that if ${p_n}(x)$ is a polynomial of degree $n$ whose graph on the interval $- 1 < x < 1$ is contained in the unit disk then the absolute value of its second derivative cannot exceed $\tfrac {2}{3}(n - 1)(2{n^2} - 4n + 3)$ on $[ - 1,1]$.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 56 (1976), 231-238
  • MSC: Primary 26A75
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0412362-6
  • MathSciNet review: 0412362