RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2009 Volume 85, Issue 2, Pages 283–291 (Mi mzm4142)

This article is cited in 2 papers

Integration of Both the Derivatives with Respect to $\mathscr{P}$-Paths and Approximative Derivatives

V. A. Skvortsova, F. Tuloneb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Università degli Studi di Palermo

Abstract: In the present paper, in terms of generalized absolute continuity, we present a descriptive characteristic of the primitive with respect to a system of $\mathscr P$-paths and study the relationship between the Denjoy–Khinchin integral and the Henstock $H_{\mathscr P}$-integral.

Keywords: absolute continuity, system of $\mathscr P$-paths, Denjoy–Khinchin integral, Henstock $H_{\mathscr P}$-integral.

UDC: 517.518.126

Received: 11.01.2007
Revised: 20.05.2008

DOI: 10.4213/mzm4142


 English version:
Mathematical Notes, 2009, 85:2, 260–266

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024