An explicit univariate and radical parametrization of the sextic proper zolotarev polynomials in power form
DOI10.14658/PUPJ-DRNA-2019-1-5zbMATH Open1540.41056MaRDI QIDQ6557280
Robert Vajda, Heinz-Joachim Rack
Publication date: 18 June 2024
Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)
radical parametrizationAbel-Pell differential equationexplicit power form representationPeherstorfer-Schiefermayr system of nonlinear equationspolynomial of degree sixproper Zolotarev polynomial
Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)
Cites Work
- Title not available (Why is that?)
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- The Landau-Kolmogorov inequality revisited
- Description of inverse polynomial images which consist of two Jordan arc with the help of Jacobi's elliptic functions
- Zolotarev's first problem - the best approximation by polynomials of degree \(\leq n-2\) to \(x^ n-n\sigma x^{n-1}\) in [-1,1]
- Orthogonal- and Chebyshev polynomials on two intervals
- On the connection of Posse's \(L_ 1\)- and Zolotarev's maximum-norm problem
- Algebraic solution of a problem of E. I. Zolotarev and N. I. Akhiezer on polynomials with smallest deviation from zero
- Description of extremal polynomials on several intervals and their computation. II
- On polynomials least deviating from zero in a given interval. With a preface by Serge Bernstein
- Sur quelques propriétés asymptotiques des polynomes.
- Challenges of symbolic computation: My favorite open problems. With an additional open problem by Robert M. Corless and David J. Jeffrey
- The theory of best approximation of functions
- On polynomials with largest coefficient sums
- Inverse polynomial images which consists of two Jordan arcs-an algebraic solution
- On a problem of I. Schur
- Extremal Polynomials and Riemann Surfaces
- Solving Kaltofen's challenge on Zolotarev's approximation problem
- Optimally Stable Lagrangian Numerical Differentiation
- The first Zolotarev case in the Erdös-Szegö solution to a Markov-type extremal problem of Schur
- Zolotarev polynomials and extremum problems
- An Algebraic-Geometric Method for Computing Zolotarev Polynomials
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