Exact Classical Polynomial Inequalities In Hp for 0 ≤ p ≤ ∞

  • Vitalii V. Arestov
Part of the Mathematics and Its Applications book series (MAIA, volume 430)


This paper is devoted to the exact Bernstein, Szegő and Zygmund inequalities for trigonometric polynomials (on the real line) and for algebraic polynomials on the unit disk in the complex plane, as well as to some more general inequalities.

Key words and phrases

Polynomial inequalities Norm Best constant Algebraic polynomials Trigonometric polynomials 


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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Vitalii V. Arestov
    • 1
  1. 1.Ural State UniversityEkaterinburgRussia

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