Approximation to the function \(z^\alpha\) by rational fractions in a domain with zero external angle

DOI10.1134/S0001434612050136zbMath1283.41012MaRDI QIDQ2435824

A. A. Pekarskii

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

polynomial approximationanalytic functionrational functionSmirnov spacebest uniform rational approximationLavrentiev curverectifiable Jordan boundary

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Approximation by polynomials (41A10)

Related Items (2)

On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles ⋮ Approximations of fuzzy numbers by step type fuzzy numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Rational approximation to functions like \(x^{\alpha}\) in integral norms
• Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).]
• Smirnov-Sobolev spaces and their embeddings

This page was built for publication: Approximation to the function \(z^\alpha\) by rational fractions in a domain with zero external angle