Rational approximation to \(x^\alpha\) on \([0,1]\)

DOI10.1007/BF02079347zbMath0425.41017OpenAlexW2321313675MaRDI QIDQ1135462

Tord Ganelius

Publication date: 1979

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02079347

zbMATH Keywords

Green capacityChebyshev's theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Related Items (11)

Poles and zeros of best rational approximants of \(| x|\) ⋮ Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).] ⋮ Rational approximation in uniform and weighted \(L^ 1\) norm ⋮ Rational approximation to functions like \(x^{\alpha}\) in integral norms ⋮ Scientific computation on some mathematical problems ⋮ On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles ⋮ Uniform approximation to \({}X{}^ \beta\) by Sinc functions ⋮ An upper bound on the Kolmogorov widths of a certain family of integral operators ⋮ Some numerical results on best uniform rational approximation of \(x^ \alpha\) on [0,1] ⋮ Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices ⋮ Best uniform rational approximation of 𝑥^{𝛼} on [0,1]

Cites Work

• Rational approximation to \(x^\alpha\)
• Rational approximation to \(|x|\)
• Rational approximation and \(n\)-dimensional diameter
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• Rational approximation in the complex plane and on the line

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