Quantum symmetric 𝐿^{𝑝} derivatives

DOI10.1090/S0002-9947-07-04249-3zbMath1196.26005MaRDI QIDQ5429480

J. Marshall Ash, Stefan Catoiu

Publication date: 30 November 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Peano derivativesRiemann derivativesquantum derivatives

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (7)

Remarks on Various Generalized Derivatives ⋮ A generalization of the GGR conjecture ⋮ A new proof of the GGR conjecture ⋮ Gaussian Riemann derivatives ⋮ The classification of complex generalized Riemann derivatives ⋮ Multidimensional Riemann derivatives ⋮ A differentiability criterion for continuous functions

Cites Work

• Optimal numerical differentiation using n function evaluations
• Symmetric and quantum symmetric derivatives of Lipschitz functions.
• An \(L^p\) differentiable non-differentiable function
• On the n th Quantum Derivative
• Optimal Numerical Differentiation Using Three Function Evaluations
• On symmetric derivatives in $L^{p}$
• Generalizations of the Riemann Derivative
• On the differentiability of functions and summability of trigonometrical series
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