Integration of both the derivatives with respect to \({\mathcal P}\)-paths and approximative derivatives

DOI10.1134/S0001434609010295zbMath1185.26012OpenAlexW2004101734MaRDI QIDQ1033920

Valentin A. Skvortsov, Francesco Tulone

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609010295

zbMATH Keywords

absolute continuityBaire theoremmeasurable setDenjoy-Khinchin integralderivative with respect to \(\mathcal P\)-pathsHenstock \(H_{\mathcal P}\)-integral

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39)

Related Items (1)

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Cites Work

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• Path integral: An inversion of path derivatives
• Path Derivatives: A Unified View of Certain Generalized Derivatives
• On the Ward Theorem for $\mathcal{P}$-adic-path bases associated with a bounded sequence
• Series in multiplicative systems convergent to Denjoy-integrable functions

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