| Title:
|
A Perron-type integral of order $2$ for Riesz spaces (English) |
| Author:
|
Boccuto, Antonio |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
185-204 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A39 |
| MSC:
|
28B05 |
| MSC:
|
28B15 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 0989.28006 |
| idMR:
|
MR1841448 |
| . |
| Date available:
|
2009-09-25T11:50:59Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129072 |
| . |
| Reference:
|
[1] BOCCUTO A.: Differential and integral calculus in Riesz spaces.Tatra Mountains Math. Publ. 14 (1998), 293-323. MR 1651221 |
| Reference:
|
[2] BOCCUTO A.: Integration by parts with respect to the Henstock-Stieltjes integral in Riesz spaces.Preprint, University of Perugia, 1999. |
| Reference:
|
[3] BOCCUTO A.: The Perron-Stieltjes integral in Riesz spaces.Preprint, University of Perugia, 1999. |
| Reference:
|
[4] BULLEN P. S.: A survey of integration by parts for Perron integrals.J. Austral. Math. Soc. Ser. A 40 (1986), 343-363. Zbl 0609.26005, MR 0832974 |
| Reference:
|
[5] BULLEN P. S.: The Pn-integral.Bull. Austral. Math. Soc. 14 (1972), 219-236. MR 0320244 |
| Reference:
|
[6] DUCHOŇ M.-RIEČAN B.: On the Kurzweil-Stieltjes integral in ordered spaces.Tatra Mountains Math. Publ. 8 (1996), 133-142. Zbl 0918.28013, MR 1475272 |
| Reference:
|
[7] JAMES R. D.: A generalized integral II.Canad. J. Math. 2 (1950), 297-306. Zbl 0037.17501, MR 0036344 |
| Reference:
|
[8] LUXEMBURG W. A. J.-ZAANEN A. C: Riesz Spaces I.North-Holland Publishing Co., Amsterdam, 1971. MR 0511676 |
| Reference:
|
[9] PFEFFER W. F.: The Riemann Approach to Integration.Cambridge Univ. Press, Cambridge, 1993. Zbl 0804.26005, MR 1268404 |
| Reference:
|
[10] RIEČAN B.: On the Kurzweil integral for functions with values in ordered spaces I.Acta Math. Univ. Comenian. 56-57 (1989), 411-424. MR 1083014 |
| Reference:
|
[11] RIEČAN B.-NEUBRUNN T.: Integral, Measure and Ordering.Kluwer Acad. Publ.; Ister Science, Dordrecht; Bratislava, 1997. Zbl 0916.28001, MR 1489521 |
| Reference:
|
[12] SKLYARENKO V. A.: Some properties of the P2 integral.Mat. Zametki 12 (1972), 693-700 (Russian) [English transl.: Math. USSR Sbornik 12 (1974), 856-860]. |
| Reference:
|
[13] ZYGMUND A.: Trigonometric Series, Vol. I.Cambridge Univ. Press, Cambridge, 1968. MR 0236587 |
| Reference:
|
[14] ZYGMUND A.: Trigonometric Series, Vol. II.Cambridge Univ. Press, Cambridge, 1968. MR 0236587 |
| . |
