Symmetric and Ordinary Differentiation

DOI10.2307/2042787zbMath0411.26004OpenAlexW4250643290MaRDI QIDQ4198972

Michael J. Evans, Charles L. Belna, Paul D. Humke

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042787

zbMATH Keywords

monotonicityfirst Baire categoryDini derivativesigma- porositysymmetric derivativemetric density

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Monotonic functions, generalizations (26A48) Foundations: limits and generalizations, elementary topology of the line (26A03) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Classification of real functions; Baire classification of sets and functions (26A21)

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Cites Work

• The symmetric and ordinary derivative
• Sets of $\sigma$-porosity and sets of $\sigma $-porosity $(q)$
• On Lebesgue's Density Theorem