Oscillation-diminishing polynomial approximation in C\(^0_w\) and \(L_p(\mathbb R,d \mu), 1 \leq p < \infty\)

DOI10.1016/j.jat.2012.04.002zbMath1252.41007OpenAlexW2750191167MaRDI QIDQ452065

Andrew Bakan, Stephan Ruscheweyh

Publication date: 19 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.04.002

zbMATH Keywords

weighted approximation\(C_{w}^{0}-\)spaces\(L_{p}-\)spacespositive polynomial approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Cites Work

• Copositive polynomial approximation
• The degree of copositive approximation
• The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line
• Weak copositive and interwining approximation
• Best copositive approximation
• Copositive polynomial and spline approximation
• Positive and copositive spline approximation in \(L_ p[0,1\)]
• On copositive approximation by algebraic polynomials
• Representation of measures with simultaneous polynomial denseness in \(L_p({\mathbf R},d\mu)\), \(1\leq p<\infty\).
• Weighted approximations by polynomials
• Representation of measures with polynomial denseness in $\mathbf {L}_{p} (\mathbb {R}, d\mu )$, $0<p<\infty $, and its application to determinate moment problems
• The Degree of Copositive Approximation and a Computer Algorithm
• Criterion for the Denseness of Algebraic Polynomials in the Spaces L_p(\mathbb R, dm), 1   p
• Unnamed Item
• 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: Oscillation-diminishing polynomial approximation in C\(^0_w\) and \(L_p(\mathbb R,d \mu), 1 \leq p < \infty\)