On Two Interpolation Formulas for Complex Polynomials

Chapter
Part of the Fields Institute Communications book series (FIC, volume 81)

Abstract

We discuss, from various points of view (for example the unicity of nodes), two recent interpolation formulas for algebraic polynomials leading to various Bernstein-Markov type inequalities. We also show that each formula contains, as a special case, the Marcel Riesz interpolation formula for trigonometric polynomials.

Keywords

Interpolation formulas for polynomials Bernstein-Markov inequalities 

2000 Mathematics Subject Classification:

30H05 30H10 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Centre de Recherches MathématiquesUniversité de MontréalMontréalCanada
  2. 2.Institut für MathematikUniversität WürzburgWürzburgGermany

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