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MR ZblKeywords: McShane integral; Kurzweil-Henstock integral; Perron integral; basis
Skvortsov, Valentin A.; Sworowski, Piotr. On McShane-type integrals with respect to some derivation bases. Mathematica Bohemica, Tome 131 (2006) no. 4, pp. 365-378. doi: 10.21136/MB.2006.133973
@article{10_21136_MB_2006_133973,
author = {Skvortsov, Valentin A. and Sworowski, Piotr},
title = {On {McShane-type} integrals with respect to some derivation bases},
journal = {Mathematica Bohemica},
pages = {365--378},
year = {2006},
volume = {131},
number = {4},
doi = {10.21136/MB.2006.133973},
mrnumber = {2273928},
zbl = {1112.26010},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.133973/}
}
TY - JOUR AU - Skvortsov, Valentin A. AU - Sworowski, Piotr TI - On McShane-type integrals with respect to some derivation bases JO - Mathematica Bohemica PY - 2006 SP - 365 EP - 378 VL - 131 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.133973/ DO - 10.21136/MB.2006.133973 LA - en ID - 10_21136_MB_2006_133973 ER -
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[1] Bongiorno, B., Di Piazza, L., Skvortsov, V.: On the $n$-dimensional Perron integral defined by ordinary derivates. Real Anal. Exchange 26 (2000/01), 371–380. | MR
[2] Bongiorno, B., Di Piazza, L., Skvortsov, V.: On dyadic integrals and some other integrals associated with local systems. J. Math. Anal. Appl. 271 (2002), 506–524. | DOI | MR
[3] Bongiorno, B., Di Piazza, L., Skvortsov, V.: The Ward property for a ${\mathcal{P}}$-adic basis and the ${\mathcal{P}}$-adic integral. J. Math. Anal. Appl. 285 (2003), 578–592. | DOI | MR
[4] Filipczak, T.: Intersection conditions for some density and ${\mathcal{I}}$-density local systems. Real Anal. Exchange 15 (1989/90), 170–192. | DOI | MR
[5] Gordon, R. A.: The inversion of approximate and dyadic derivatives using an extension of the Henstock integral. Real Anal. Exchange 16 (1990/91), 154–168. | MR
[6] Gordon, R. A.: Review of [7]. Math. Reviews 2005d:26011.
[7] Kim, J. B., Lee, D. H., Lee, W. Y., Park, C. G., Park, J. M.: The s-Perron, sap-Perron and ap-McShane integrals. Czechoslovak Math. J. 54 (2004), 545–557. | DOI | MR
[8] Pfeffer, W. F.: The Riemann Approach to Integration. Cambridge University Press, Cambridge, 1993. | MR | Zbl
[9] Skvortsov, V.: Continuity of $\delta $-variation and construction of continuous major and minor functions for the Perron integral. Real Anal. Exchange 21 (1995/96), 270–277. | MR
[10] Thomson, B. S.: Real Functions. Lecture Notes in Mathematics, vol. 1170, Springer, 1985. | MR | Zbl
[11] Thomson, B. S.: Symmetric Properties of Real Functions. Monographs and Textbooks in Pure and Applied Mathematics, vol. 183, Marcel Dekker, New York, 1994. | MR | Zbl
[12] Wang, C., Ding, C. S.: An integral involving Thomson’s local systems. Real Anal. Exchange 19 (1993/94), 248–253. | MR
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