Two pointwise characterizations of the Peano derivative

DOI10.1007/s00025-024-02278-1MaRDI QIDQ6626457

Hajrudin Fejzić, J. Marshall Ash, Stefan Catoiu

Publication date: 28 October 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Peano derivativegeneralized Riemann derivative\(\mathcal{A}\)-derivative

Mathematics Subject Classification ID

Constructive and recursive analysis (03F60) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Linear equations (linear algebraic aspects) (15A06) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Monotonicity theorems for generalized Riemann derivatives
• Peano derivatives: A survey
• Convexity theorems for generalized Riemann derivatives
• Recherches sur la structured des fonctions mesurables. II.
• Sur l'approximation des fonctions d'une variable réelle et de leurs dérivées par des polynômes et des suites limitées de \textit{Fourier}.
• On Taylor's formula.
• Equivalence of \((n+1)\)-th order Peano and usual derivatives for \(n\)-convex functions
• On Peano and Riemann derivatives
• The classification of complex generalized Riemann derivatives
• A differentiability criterion for continuous functions
• A new proof of the GGR conjecture
• Multidimensional Riemann derivatives
• A property of Peano derivatives in several variables
• Remarks on Various Generalized Derivatives
• Generalized vs. ordinary differentiation
• Decomposition of Peano Derivatives
• On the n th Quantum Derivative
• On Unilateral and Bilateral nth Peano Derivatives
• Mean Value Theorems for Generalized Riemann Derivatives
• Monotonicity Theorems
• Monotonicity, Convexity and Symmetric Derivates
• Peano path derivatives
• The classification of generalized Riemann derivatives
• Infinite approximate Peano derivatives
• Characterizing Peano and Symmetric Derivatives and the GGR Conjecture’s Solution
• Quantum symmetric 𝐿^{𝑝} derivatives
• A mean value theorem for generalized Riemann derivatives
• Generalizations of the Riemann Derivative
• On the differentiability of functions
• Sur l'intégration des coefficients différentiels d'ordre supérieur
• On the differentiability of functions and summability of trigonometrical series
• The Exact Peano Derivative
• Convexity conditions for generalized Riemann derivable functions
• A generalization of the GGR conjecture
• Gaussian Riemann derivatives

This page was built for publication: Two pointwise characterizations of the Peano derivative

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6626457)