On the connection between minimal polynomials on arcs and on intervals

Franz Peherstorfer; Klaus Schiefermayr

On the connection between minimal polynomials on arcs and on intervals

Franz Peherstorfer, Klaus Schiefermayr

Institute of Stochastics

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

We show that polynomials minimal with respect to the sup-norm on several symmetric arcs of the unit circle with a minimal number of extremal points can be expressed with the help of polynomials which are minimal on several symmetric real intervals.

Original language	English
Title of host publication	Functions, Series, and Operators
Editors	L. Leindler, F. Schipp, J. Szabados
Pages	339-356
Number of pages	18
Publication status	Published - 2002

Fields of science

101002 Analysis

Cite this

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title = "On the connection between minimal polynomials on arcs and on intervals",

abstract = "We show that polynomials minimal with respect to the sup-norm on several symmetric arcs of the unit circle with a minimal number of extremal points can be expressed with the help of polynomials which are minimal on several symmetric real intervals.",

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A2 - L. Leindler, F. Schipp, J. Szabados, null

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On the connection between minimal polynomials on arcs and on intervals

Abstract

Fields of science

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Cite this