On multivariate polynomials of least deviation from zero on the unit ball

DOI10.1007/BF01214733zbMath0334.41009MaRDI QIDQ1228909

Manfred Reimer

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172479

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (11)

Strict Chebyshev approximation for general systems of linear equations ⋮ On Polynomials of Least Deviation from Zero in Several Variables ⋮ On best approximation of the monomials on the unit ball of \(\mathbb{R}^ r\) ⋮ A novel recursive method to reconstruct multivariate functions on the unit cube ⋮ Uniqueness of solutions in multivariate Chebyshev approximation problems ⋮ On complex (non-analytic) Chebyshev polynomials in \(\mathbb C^{2}\) ⋮ Bivariate Polynomials of Least Deviation from Zero ⋮ Explicit min-max polynomials on the disc ⋮ On real and complex-valued bivariate Chebyshev polynomials ⋮ Polynomials of least deviation from zero ⋮ On Kergin interpolation in the disk

Cites Work

• Unnamed Item
• Some Chebyshev approximations by polynomials in two variables
• Chebyshev approximation to zero
• Some theorems on Cebysev approximation. II
• Chebyshev polynomials of several variables
• \(L_1\)-approximation to zero

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