On equivalence of moduli of smoothness of polynomials in \(L_p\), \(0 < p \leqslant \infty\)

DOI10.1016/j.jat.2005.07.004zbMath1080.41003OpenAlexW1988740835MaRDI QIDQ2569464

Yingkang Hu, Yong-ping Liu

Publication date: 27 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jat.2005.07.004

zbMATH Keywords

moduli of smoothness

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Related Items (5)

Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\) ⋮ Sharp \(L_p\)-error estimates for sampling operators ⋮ Moduli of smoothness and approximation on the unit sphere and the unit ball ⋮ On approximation of functions by algebraic polynomials in Hölder spaces ⋮ Smoothness of functions versus smoothness of approximation processes

Cites Work

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• Orthogonal polynomials
• Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1
• On Monotone Spline Approximation
• Discrete Modulus of Smoothness of Splines with Equally Spaced Knots
• The Degree of Copositive Approximation and a Computer Algorithm
• Some remarks on equivalence of moduli of smoothness

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