Approximate Taylor polynomials and differentiation of functions

DOI10.12775/TMNA.1994.009zbMath0811.26005OpenAlexW2587663619MaRDI QIDQ1333766

Wei-Shyan Tai, Fon-Che Liu

Publication date: 5 April 1995

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1994.009

zbMATH Keywords

Lusin propertyapproximate differentiabilityapproximate Taylor polynomial

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (11)

Lusin-type properties of convex functions and convex bodies ⋮ A C^k Lusin approximation theorem for real-valued functions on Carnot groups ⋮ Approximate differentiability in the generalized Takagi-van der Waerden class ⋮ Integral representation of local functionals depending on vector fields ⋮ Pointwise differentiability of higher-order for distributions ⋮ Subdifferentiable functions satisfy Lusin properties of class \(C^1\) or \(C^2\) ⋮ A \(C^m\) Lusin approximation theorem for horizontal curves in the Heisenberg group ⋮ Nonsmooth Morse-Sard theorems ⋮ Non approximate derivability of the Takagi function ⋮ Some remarks about the Morse-Sard theorem and approximate differentiability ⋮ Pointwise characterization of Sobolev classes

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