Polynomial approximation of analytic functions on a finite number of continua in the complex plane

DOI10.1016/J.JAT.2004.12.016zbMath1085.30034OpenAlexW2056151952MaRDI QIDQ1772702

Vladimir V. Andrievskii

Publication date: 21 April 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.12.016

zbMATH Keywords

interpolationapproximationpolynomial

Mathematics Subject Classification ID

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

Related Items (12)

A collocation approach for solving linear complex differential equations in rectangular domains ⋮ The problem of approximation in mean on arcs in the complex plane ⋮ On the Christoffel function for the generalized Jacobi measures on a quasidisk ⋮ A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains ⋮ Uniform and \(L^q\)-ensemble reachability of parameter-dependent linear systems ⋮ A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain ⋮ A collocation method to find solutions of linear complex differential equations in circular domains ⋮ A collocation method to solve higher order linear complex differential equations in rectangular domains ⋮ Numerical solution of a class of complex differential equations by the Taylor collocation method in elliptic domains ⋮ Polynomial approximation of polyharmonic functions on a complement of a John domain ⋮ A collocation approach for solving a class of complex differential equations in elliptic domains ⋮ An approximation problem with a new characteristic and a problem on mean approximation on arcs in a complex plane

Cites Work

• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• Simultaneous approximation and interpolation of functions on continua in the complex plane.
• On normal and automorphic functions
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
• The Nikol'skii-Timan-Dzjadyk theorem for functions on compact sets of the real line
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polynomial approximation of analytic functions on a finite number of continua in the complex plane