Discrete $d$-dimensional moduli of smoothness

DOI10.1090/S0002-9939-2014-12088-0zbMath1300.26011arXiv1404.0063OpenAlexW2964163074MaRDI QIDQ3190337

Z. Ditzian, Andriy Prymak

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0063

zbMATH Keywords

Lagrange interpolationtensor product splinesmoduli of smoothnessdyadic mesh

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Saturation in approximation theory (41A40)

Cites Work

• Moduli of smoothness using discrete data
• Triangular powers of integers from determinants of binomial coefficient matrices
• Moduli of Continuity in R n and D ⊂R n
• The Modulus of Smoothness and Discrete Data in a Square Domain

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