Polynomial approximation with doubling weights having finitely many zeros and singularities

DOI10.1016/J.JAT.2015.05.003zbMath1323.41007arXiv1408.7110OpenAlexW1913730642MaRDI QIDQ2517313

Kirill A. Kopotun

Publication date: 17 August 2015

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

Full work available at URL: https://arxiv.org/abs/1408.7110

zbMATH Keywords

polynomial approximationdirect and inverse theoremsweighted moduli of smoothnessclassical Jacobi weightsdoubling weights with zeros and singularitiesgeneralized Jacobi weights and generalized Ditzian-Totik weightsweighted realization functionals

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Inverse theorems in approximation theory (41A27)

Related Items (7)

Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces ⋮ On the moduli of smoothness with Jacobi weights ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Uniform polynomial approximation with \(A^{\ast}\) weights having finitely many zeros ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ On weighted approximation with Jacobi weights

Cites Work

• Polynomial approximation with doubling weights
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• Notes on inequalities with doubling weights
• Piecewise monotonic doubling measures
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Weighted \(L_ p\) error of Lagrange interpolation
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• New moduli of smoothness: weighted DT moduli revisited and applied
• Polynomial Approximation and $\omega^r_\phi (f,t)$ Twenty Years Later
• Two Nonequivalent Conditions for Weight Functions
• Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1
• Best approximation and moduli of smoothness for doubling weights
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)
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