Approximation of Sobolev-type classes with quasi-seminorms

DOI10.1216/rmjm/1181069739zbMath1080.41023OpenAlexW2030232393MaRDI QIDQ2566502

Z. Ditzian, V. N. Konovalov, Dany Leviatan

Publication date: 26 September 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069739

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Relations between rational and spline approximations in \(L_ p\) metric
• Decision theoretic generalizations of the PAC model for neural net and other learning applications
• The degree of approximation of sets in euclidean space using sets with bounded Vapnik-Chervonenkis dimension
• On the degree of approximation by manifolds of finite pseudo-dimension
• Sphere packing numbers for subsets of the Boolean \(n\)-cube with bounded Vapnik-Chervonenkis dimension
• On the value of partial information for learning from examples
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Convex polynomial and spline approximation in \(L_ p, 0<p<\infty\)
• Convergence of stochastic processes
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