The Kurzweil construction of an integral in ordered spaces
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 565-574
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This paper generalizes the results of papers which deal with the Kurzweil-Henstock construction of an integral in ordered spaces. The definition is given and some limit theorems for the integral of ordered group valued functions defined on a Hausdorff compact topological space $T$ with respect to an ordered group valued measure are proved in this paper.
Classification :
26A39, 28B15
Keywords: lattice ordered group valued function and measure; Kurzweil-Henstock construction of an integral; limit theorems
Keywords: lattice ordered group valued function and measure; Kurzweil-Henstock construction of an integral; limit theorems
@article{CMJ_1998__48_3_a10,
author = {Rie\v{c}an, Beloslav and Vr\'abelov\'a, Marta},
title = {The {Kurzweil} construction of an integral in ordered spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {565--574},
publisher = {mathdoc},
volume = {48},
number = {3},
year = {1998},
mrnumber = {1637875},
zbl = {0953.28007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a10/}
}
TY - JOUR AU - Riečan, Beloslav AU - Vrábelová, Marta TI - The Kurzweil construction of an integral in ordered spaces JO - Czechoslovak Mathematical Journal PY - 1998 SP - 565 EP - 574 VL - 48 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a10/ LA - en ID - CMJ_1998__48_3_a10 ER -
Riečan, Beloslav; Vrábelová, Marta. The Kurzweil construction of an integral in ordered spaces. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 565-574. http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a10/