Path Derivatives: A Unified View of Certain Generalized Derivatives

DOI10.2307/1999991zbMath0541.26003OpenAlexW4236001706MaRDI QIDQ3328763

Brian S. Thomson, Richard J. O'Malley, Andrew M. Bruckner

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999991

zbMATH Keywords

porosityDarboux propertyapproximate derivativesBaire class oneintersection conditionsystem of pathsZahorski classespath derivativepoint of accumulationDenjoy 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 (16)

On approximate Peano derivatives ⋮ A wide Perron integral ⋮ Real variable contributions of G. C. Young and W. H. Young ⋮ Path Derivatives and Growth Control ⋮ Unnamed Item ⋮ Peano path derivatives ⋮ On symmetrically porouscontinuous functions ⋮ Unnamed Item ⋮ A nonstandard result about path continuity ⋮ On continuity in generalized topology ⋮ Methods of comparison of families of real functions in porosity terms ⋮ First return path systems: Differentiability, continuity, and orderings ⋮ Unnamed Item ⋮ Integration of both the derivatives with respect to \({\mathcal P}\)-paths and approximative derivatives ⋮ On dyadic integrals and some other integrals associated with local systems ⋮ Strong porosity features of typical continuous functions

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