Approximation by Müntz spaces on positive intervals

DOI10.1016/j.crma.2013.10.018zbMath1323.41020OpenAlexW1990223511MaRDI QIDQ387794

Marie-Laurence Mazure, Rachid Ait-Haddou

Publication date: 17 December 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.10.018

zbMATH Keywords

Bernstein operatorsMüntz spaceextended Chebyshev space

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (4)

Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation ⋮ Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials

Cites Work

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• Finding all systems of weight functions associated with a given extended Chebyshev space
• Bernstein-type operators in Chebyshev spaces
• Bernstein operators for exponential polynomials
• A Müntz type theorem for a family of corner cutting schemes
• Dimension elevation in Müntz spaces: a new emergence of the Müntz condition
• Muntz type Theorems I

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