Algebraic solution of a problem of e.i. zolotarev and n. i. akhiezer on polynomials with smallest deviation from zero

Mikhail Sodin, Peter Yuditskii

Type: Article

Publication Date: 1995-09-01

Citations: 17

DOI: https://doi.org/10.1007/bf02364906

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Journal of Mathematical Sciences - View - PDF

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Works That Cite This (16)

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+ PDF Chat	Inverse polynomial images which consists of two Jordan arcs—An algebraic solution	2007	Klaus Schiefermayr
+ PDF Chat	Geometric Properties of Inverse Polynomial Images	2011	Klaus Schiefermayr
+ PDF Chat	Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials	2019	Heinz Joachim Rack Róbert Vajda
+	An Algebraic-Geometric Method for Computing Zolotarev Polynomials	2017	Georg Grasegger Thieu N. Vo
+	An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots	2021	Heinz‐Joachim Rack Róbert Vajda
+	Description of Inverse Polynomial Images which Consist of Two Jordan Arcs with the Help of Jacobi’s Elliptic Functions	2005	Franz Peherstorfer Klaus Schiefermayr
+	An explicit univariate and radical parametrization of the sextic proper Zolotarev polynomials	2019	Heinz‐Joachim Rack Róbert Vajda
+	Abel’s Equations	2012	Андрей Борисович Богатырев
+	The Problem of the Optimal Stability Polynomial	2012	Андрей Борисович Богатырев
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Works Cited by This (4)

Action	Title	Year	Authors
+	On Bernstein-Szegö orthogonal polynomials on several intervals. II. Orthogonal polynomials with periodic recurrence coefficients	1991	Franz Peherstorfer
+	The Degenerating Behavior of Elliptic Functions	1983	B. C. Carlson John A. Todd
+	Zolotarev's first problem — the best approximation by polynomials of degree ≤n − 2 tox n − nσx n−1 in [−1, 1]	1983	B. C. Carlson John A. Todd
+	Orthogonal polynomials in L1-approximation	1988	Franz Peherstorfer