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NASA NTRS · 19920002506

New Bernstein type inequalities for polynomials on ellipses

Abstract

New and sharp estimates are derived for the growth in the complex plane of polynomials known to have a curved majorant on a given ellipse. These so-called Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation problems on ellipses. Also presented are some new results for approximation problems of this type.

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BibTeXRIS

Freund, Roland, Fischer, Bernd. 1990-03-01. New Bernstein type inequalities for polynomials on ellipses. https://ntrs.nasa.gov/citations/19920002506

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