On Two Inequalities for Polynomials in the Unit Disk

Richard Fournier () and Stephan Ruscheweyh ()
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Richard Fournier: Université de Montréal
Stephan Ruscheweyh: Universität Würzburg

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 75-82 from Springer

Abstract: Abstract We show that a certain interpolation type inequality for polynomials in the unit disk, generalizing Bernstein’s inequality, is actually contained in an older, even more general one. We also discuss the cases of equality.

Keywords: Bernstein inequality; Inequalities for complex polynomials; Interpolation formulas; Convolution; 41A17. (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-49242-1_4

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DOI: 10.1007/978-3-319-49242-1_4

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