Approximate smoothness of continuous functions

zbMATH Open0653.26005MaRDI QIDQ5903728

Michael J. Evans

Publication date: 1985

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

approximately smooth functionsnowhere differentiable real valued function

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (11)

Smoothly varying functions and perfect proximate orders ⋮ Title not available (Why is that?) ⋮ GLOBAL SMOOTHNESS OF APPROXIMATING FUNCTIONS ⋮ Title not available (Why is that?) ⋮ Approximate smoothness of continuous functions ⋮ Approximation of differentiable functions by functions of large smoothness ⋮ Constructive properties of functions with variable smoothness ⋮ Smoothness of functions versus smoothness of approximation processes ⋮ Smooth approximations by continuous choice-functions ⋮ Equivalence of rate of approximation and smoothness ⋮ A pathological approximately smooth function

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