Path Derivatives: A Unified View of Certain Generalized Derivatives
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Publication:3328763
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
porosityDarboux propertyapproximate derivativesBaire class oneintersection conditionsystem of pathsZahorski classespath derivativepoint of accumulationDenjoy property
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
Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Bi-selective derivatives are of honorary Baire class two
- Approximate differentiation
- Differentiation of real functions
- Interval-functions
- On Approximate Derivatives
- Mathematical Pearls: Linearly Continuous Functions
- Selective differentiation: Redefining selections
- A Note on a Darboux Continuous Function
- The Equality of Unilateral Derivates
- Representations of Functions by Derivatives
- Selective derivatives and theM 2 or Denjoy-Clarkson properties
- Monotonicity Theorems
- Baire ∗ 1, Darboux Functions
- On approximative derived numbers of monotone functions
- Selective derivates
- On the Baire class of selective derivatives
- On a certain condition of the monotonicity of functions
- The Oscillatory Behavior of Certain Derivatives
- Decomposition of Approximate Derivatives
- Symmetric and Ordinary Differentiation
- On Properties of Derivatives
- On Approximate and Peano Derivatives
- On the differentiation of integrals in euclidean spaces
- On the Peano Derivatives
- Sur La Premiere Derivee
- Darboux Properties and Applications to Non-Absolutely Convergent Integrals
- The Exact Peano Derivative
- Monotonicity theorems
- Remarks on a problem of A. M. Bruckner
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