On equivalence of moduli of smoothness of splines in \(\mathbb {L}_{p}, 0 < p < 1\)

DOI10.1016/J.JAT.2006.03.001zbMath1106.41011OpenAlexW1604958231MaRDI QIDQ860687

Kirill A. Kopotun

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jat.2006.03.001

zbMATH Keywords

modulus of smoothness

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (2)

Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\) ⋮ Sharp estimates of approximation of periodic functions in Hölder spaces

Cites Work

• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Univariate splines: Equivalence of moduli of smoothness and applications

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