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Some Inequalities for Polynomials in L0 NORM

  • E. A. Storozenko
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 430)

Abstract

Some relations between zeros of a polynomial and zeros of its integrals are established.

Key words and phrases

Inequalities Norm Best constant Algebraic polynomials Composition of polynomials 

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References

  1. 1.
    N. J. de Bruijn and T. A. Springer, On the zeros of composition-polynomials, Nederl. Akad. Wetensch. Proc. 50 (1947), 859–903 [= Indag. Math. 9 (1947), 406-414].Google Scholar
  2. 2.
    K. Mahler On the zeros of the derivative of a polynomial, Proc. Roy. Soc. London 264 (1961), 145–154.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    G. Pólya und G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Vol. 2, Springer Verlag, Berlin — Heidelberg — New York, 1971.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • E. A. Storozenko
    • 1
  1. 1.IMEMOdessa UniversityOdessaUkraine

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