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Selective, bi-selective, and composite differentiation

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Publication:795190
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DOI10.1007/BF01951321zbMath0542.26006OpenAlexW1974888982MaRDI QIDQ795190

Richard J. O'Malley, Clifford E. Weil

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01951321


zbMATH Keywords

Baire class 1bi-selective derivativecomposite derivativesDarbaux property


Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Classification of real functions; Baire classification of sets and functions (26A21)


Related Items (1)

First return path systems: Differentiability, continuity, and orderings




Cites Work

  • Bi-selective derivatives are of honorary Baire class two
  • Selective differentiation: Redefining selections
  • Selective derivatives and theM 2 or Denjoy-Clarkson properties
  • Selective derivates
  • On the Baire class of selective derivatives
  • Decomposition of Approximate Derivatives
  • Baire 1 functions, approximately continuous functions and derivatives




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