On Two Interpolation Formulas for Complex Polynomials

Fournier, Richard; Ruscheweyh, Stephan

doi:10.1007/978-1-4939-7543-3_12

Richard Fournier⁴ &
Stephan Ruscheweyh⁵

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

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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.

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Authors and Affiliations

Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, QC, Canada, H3J 3J7
Richard Fournier
Institut für Mathematik, Universität Würzburg, 97074, Würzburg, Germany
Stephan Ruscheweyh

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Richard Fournier
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Stephan Ruscheweyh
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Correspondence to Richard Fournier .

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Editors and Affiliations

Département de Mathématiques et de Statistique, Université Laval, Québec, Québec, Canada
Javad Mashreghi
Department of Mathematics and Statistics, University of South Florida, Tampa, Florida, USA
Myrto Manolaki
Département de Mathématiques et de Statistique, Université de Montréal, Montreal, Québec, Canada
Paul Gauthier

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Fournier, R., Ruscheweyh, S. (2018). On Two Interpolation Formulas for Complex Polynomials. In: Mashreghi, J., Manolaki, M., Gauthier, P. (eds) New Trends in Approximation Theory. Fields Institute Communications, vol 81. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7543-3_12

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DOI: https://doi.org/10.1007/978-1-4939-7543-3_12
Published: 29 March 2018
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-7542-6
Online ISBN: 978-1-4939-7543-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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