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MR ZblKeywords: strong McShane integral; strong absolute continuity; McShane variational measure
Lee, Tuo-Yeong. Some full characterizations of the strong McShane integral. Mathematica Bohemica, Tome 129 (2004) no. 3, pp. 305-312. doi: 10.21136/MB.2004.134144
@article{10_21136_MB_2004_134144,
author = {Lee, Tuo-Yeong},
title = {Some full characterizations of the strong {McShane} integral},
journal = {Mathematica Bohemica},
pages = {305--312},
year = {2004},
volume = {129},
number = {3},
doi = {10.21136/MB.2004.134144},
mrnumber = {2092716},
zbl = {1080.26006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134144/}
}
TY - JOUR AU - Lee, Tuo-Yeong TI - Some full characterizations of the strong McShane integral JO - Mathematica Bohemica PY - 2004 SP - 305 EP - 312 VL - 129 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134144/ DO - 10.21136/MB.2004.134144 LA - en ID - 10_21136_MB_2004_134144 ER -
[1] A. M. Bruckner, J. B. Bruckner, B. S. Thomson: Real Analysis. Prentice-Hall, 1997.
[2] J. A. Clarkson: Uniformly convex spaces. Trans. Amer. Math. Soc. 40 (1936), 396–414. | DOI | MR | Zbl
[3] L. Di Piazza: Variational measures in the theory of the integration in ${\mathbb{R}}^m$. Czechoslovak Math. J. 51 (2001), 95–110. | DOI | MR
[4] D. H. Fremlin, J. Mendoza: On the integration of vector-valued functions. Illinois J. Math. 38 (1994), 127–141. | DOI | MR
[5] R. A. Gordon: The Integrals of Lebesgue, Denjoy, Perron, and Henstock. Amer. Math. Soc., Providence, 1994. | MR | Zbl
[6] J. Jarník, J. Kurzweil: Perron-type integration on $n$-dimensional intervals and its properties. Czechoslovak Math. J. 45 (1995), 79–106. | MR
[7] Lee Peng Yee, R. Výborný: The Integral, An Easy Approach after Kurzweil and Henstock. Australian Mathematical Society Lecture Ser. 14, Cambridge University Press, 2000. | MR
[8] Lee Tuo-Yeong: Every absolutely Henstock-Kurzweil integrable function is McShane integrable: an alternative proof. (to appear). | MR | Zbl
[9] W. F. Pfeffer: A note on the generalized Riemann integral. Proc. Amer. Math. Soc. 103 (1988), 1161–1166. | DOI | MR | Zbl
[10] W. F. Pfeffer: The Riemann Approach to Integration. Cambridge Univ. Press, Cambridge, 1993. | MR | Zbl
[11] Š. Schwabik, Ye Guoju: On the strong McShane integral of functions with values in a Banach space. Czechoslovak Math. J. 51 (2001), 819–828. | DOI | MR
[12] C. Swartz: Introduction to the Gauge Integrals. World Scientific, 2001. | MR
[13] B. S. Thomson: Derivates of Interval Functions. Mem. Amer. Math. Soc. 452, 1991. | MR | Zbl
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