Weighted uniform polynomial approximation and moduli of smoothness on continua in the complex plane

DOI10.1016/J.JAT.2011.10.009zbMath1253.41005OpenAlexW1970507389MaRDI QIDQ765688

Vladimir V. Andrievskii

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.10.009

zbMATH Keywords

conformal mappingpolynomial approximationcontinuous functionconstructive description

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (1)

Approximation in weighted rearrangement invariant Smirnov spaces

Cites Work

• Description of classes of functions with given rate of decrease of their best uniform polynomial approximations
• Constructive characterization of classes of continuous functions of a set \(\mathfrak M\subset\mathbb{C}\) for the \(k-th\) modulus of continuity
• Geometric properties of V. K. Dzyadyk's regions
• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• Constructive theory of analytic functions on a quasidisk
• Constructive characteristic of continuous functions defined on smooth arcs
• THE GEOMETRIC STRUCTURE OF REGIONS, AND DIRECT THEOREMS OF THE CONSTRUCTIVE THEORY OF FUNCTIONS
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
• Best approximation and moduli of smoothness for doubling weights
• On \(L^p\)-discrepancy of signed measures
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