Representations of Functions by Derivatives

DOI10.2307/1998363zbMath0455.26002OpenAlexW4235518989MaRDI QIDQ3903205

Jan Mařík, R. Biskner, S. J. Agronsky, Andrew M. Bruckner

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998363

zbMATH Keywords

derivativesDarboux propertyapproximately continuous functionsapproximate derivativesfunctions of Baire class 1Zahorski's class M3

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) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items

On approximate Peano derivatives ⋮ Path Derivatives: A Unified View of Certain Generalized Derivatives ⋮ Infinite approximate Peano derivatives ⋮ Real variable contributions of G. C. Young and W. H. Young ⋮ On representations of Baire one functions as the sum of lower and upper semicontinuous functions ⋮ First return path systems: Differentiability, continuity, and orderings ⋮ Decomposition of derivatives in several variables and the class \([\Delta'\)]

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• Sur La Premiere Derivee