Some numerical results on best uniform rational approximation of \(x^ \alpha\) on [0,1]

DOI10.1007/BF02145384zbMath0763.41025OpenAlexW2020107568MaRDI QIDQ1192647

Richard S. Varga, Amos J. Carpenter

Publication date: 27 September 1992

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02145384

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (10)

Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation ⋮ A Newton's method for best uniform polynomial approximation ⋮ Reduced sum implementation of the BURA method for spectral fractional diffusion problems ⋮ Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).] ⋮ A survey on numerical methods for spectral space-fractional diffusion problems ⋮ Scientific computation on some mathematical problems ⋮ On rational Krylov and reduced basis methods for fractional diffusion ⋮ Numerical solution of fractional diffusion-reaction problems based on BURA ⋮ A Newton method for best uniform rational approximation ⋮ An algorithm for best rational approximation based on barycentric rational interpolation

Uses Software

• Algorithm 524

Cites Work

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• Rational approximation to \(x^\alpha\) on \([0,1\)]
• Rational approximation to \(x^\alpha\)
• Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).]
• Rational approximation to \(|x|\)
• ON THE APPROXIMATION OF $ x^\alpha$ BY RATIONAL FUNCTIONS
• Approximation by Generalized Rationals
• ESTIMATES OF THE GROWTH OF RATIONAL FUNCTIONS AND SOME OF THEIR APPLICATIONS
• ASYMPTOTICS FOR LEAST DEVIATION OF $ \vert x\vert$ FROM RATIONAL FUNCTIONS

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