A generalization of the GGR conjecture
DOI10.1090/proc/16282arXiv2211.09201WikidataQ122939955 ScholiaQ122939955MaRDI QIDQ6049971
Stefan Catoiu, Hajrudin Fejzić
Publication date: 11 October 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.09201
smoothnessPeano derivativegeneralized Riemann derivativeGGR conjecturegeneralized GGR theoremGGR theorem
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Linear difference operators (47B39) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotonicity theorems for generalized Riemann derivatives
- Optimal points for numerical differentiation
- Peano derivatives: A survey
- Convexity theorems for generalized Riemann derivatives
- Optimal numerical differentiation using n function evaluations
- Repairing the proof of a classical differentiation result
- 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
- 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
- Differentiation Formulas for Analytic Functions
- Generalizations of the Riemann Derivative
- On the differentiability of functions
- On the differentiability of functions and summability of trigonometrical series
- Convexity conditions for generalized Riemann derivable functions
- Gaussian Riemann derivatives
This page was built for publication: A generalization of the GGR conjecture
