The Kurzweil construction of an integral in ordered spaces
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 565-574.
Voir la notice de l'article dans Czech Digital Mathematics Library
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
Mots-clés : lattice ordered group valued function and measure; Kurzweil-Henstock construction of an integral; limit theorems
Mots-clés : 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 = {https://geodesic-test.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 - https://geodesic-test.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. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_3_a10/