Interpolation of cones and shape-preserving approximation

DOI10.1006/jath.2002.3686zbMath1018.41001OpenAlexW2078678155MaRDI QIDQ1867488

Inna Kozlov

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3686

zbMATH Keywords

real interpolationshape-preserving approximationBanach cones

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Interpolation in approximation theory (41A05) Approximation with constraints (41A29)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise estimates for monotone polynomial approximation
• Jackson's theorem in \(L^ p\), \(0<p<1\), for algebraic polynomials, and orders of comonotone approximations
• Approximation spaces
• Polynomial approximation in \(L_ p (O<p<1)\)
• On equivalence of moduli of smoothness
• Shape-preserving approximation in \(L_ p\)
• On positive and copositive polynomial and spline approximation in \(L_ p[-1,1,\quad 0<p<\infty\)]
• Interpolation of normed Abelian groups
• Intersection properties for cones of monotone and convex functions with respect to the couple (L_p, BMO)
• Constrained Approximation in Sobolev Spaces
• Discrete Modulus of Smoothness of Splines with Equally Spaced Knots
• Interpolation of Quasi-Normed Spaces.
• An application of interpolation theory to Fourier series
• Some remarks an interpolation of operators and Fourier coefficients

This page was built for publication: Interpolation of cones and shape-preserving approximation