Moduli of smoothness using discrete data

DOI10.1016/0021-9045(87)90082-7zbMath0637.41010OpenAlexW1981425820MaRDI QIDQ1099018

Z. Ditzian

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90082-7

zbMATH Keywords

rate of convergenceWhitney extension theoremmoduli of smoothnesscardinal B splineSteklov type integrals

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (8)

Discrete $d$-dimensional moduli of smoothness ⋮ Stability of manifold-valued subdivision schemes and multiscale transformations ⋮ Unnamed Item ⋮ Multiple refinable Hermite interpolants ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Convergence of subdivision schemes and smoothness of limit functions ⋮ Simultaneous approximation for Szász-Mirakian quasi-interpolants ⋮ Convergence rates of vector cascade algorithms in \(L_p\)

Cites Work

• A practical guide to splines
• The approximation of continuous functions by positive linear operators
• Discrete and shift Kolmogorov type inequalities
• On the Problem of R. De Vore
• Inverse Theorems for Functions in L p and other Spaces
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