Rational interpolation and best rational approximation

DOI10.1016/0022-247X(76)90143-8zbMath0335.41010MaRDI QIDQ1229371

Johan Karlsson

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (8)

Szegö functions and multipoint Padé approximation ⋮ The convergence of Padé approximants to functions with branch points ⋮ Robust formula for \(N\)-point Padé approximant calculation based on Wynn identity ⋮ Distribution of poles of diagonal rational approximants to functions of fast rational approximability ⋮ Rational approximation to the exponential function with complex conjugate interpolation points ⋮ \((p,q)\)-growth of meromorphic functions and the Newton-Padé approximant ⋮ On convergence of rational and best rational approximations ⋮ Simultaneous rational approximation of a function and its derivatives in the complex plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The winding of an analytic function
• On the degree of best rational approximation to the exponential function
• The convergence of Padé approximants of meromorphic functions
• The degree of convergence for entire functions
• Padé approximants and convergence in capacity
• Convergence of Padé approximants to quasianalytic functions beyond natural boundaries
• The convergence of padé approximants and the size of the power series coefficients
• Approximation and interpolation of entire functions
• On Some Aspects of the Rational Interpolation Problem

This page was built for publication: Rational interpolation and best rational approximation