First return path systems: Differentiability, continuity, and orderings

DOI10.1007/BF01874355zbMath0821.26006OpenAlexW1974512164MaRDI QIDQ1804752

Udayan B. Darji, Richard J. O'Malley, Michael J. Evans

Publication date: 11 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf01874355

zbMATH Keywords

trajectorycompositely differentiablefirst return continuousfirst return differentiationfirst return path systems

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Iteration of real functions in one variable (26A18) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (5)

Recovering Baire 1 functions ⋮ Unnamed Item ⋮ Trajectories, first return limiting notions and rings of H-connected and iteratively H-connected functions ⋮ Universally First Return Continuous Functions ⋮ Universally Polygonally Approximable Functions

Cites Work

• Unnamed Item
• Selective, bi-selective, and composite differentiation
• Maximoff's theorem
• Differentiation of real functions
• On approximate Peano derivatives
• Decomposition of Peano Derivatives
• Path Derivatives: A Unified View of Certain Generalized Derivatives
• A Note on a Darboux Continuous Function
• Darboux Functions of Baire Class One and Derivatives
• Representations of Functions by Derivatives
• First Return Path Derivatives
• Baire ∗ 1, Darboux Functions
• Selective derivates
• Decomposition of Approximate Derivatives
• Baire 1 functions, approximately continuous functions and derivatives

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