On Henstock-Dunford and Henstock-Pettis integrals
We give the Riemann-type extensions of Dunford integral and Pettis integral, Henstock-Dunford integral and Henstock-Pettis integral. We discuss the relationships between the Henstock-Dunford integral and Dunford integral, Henstock-Pettis integral and Pettis integral. We prove the Harnack extension t...
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2001-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171201002381 |
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doaj-20abfc7cc7c6444eb36212f3e97f25992020-11-24T22:40:12ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125746747810.1155/S0161171201002381On Henstock-Dunford and Henstock-Pettis integralsYe Guoju0An Tianqing1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe give the Riemann-type extensions of Dunford integral and Pettis integral, Henstock-Dunford integral and Henstock-Pettis integral. We discuss the relationships between the Henstock-Dunford integral and Dunford integral, Henstock-Pettis integral and Pettis integral. We prove the Harnack extension theorems and the convergence theorems for Henstock-Dunford and Henstock-Pettis integrals.http://dx.doi.org/10.1155/S0161171201002381 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ye Guoju An Tianqing |
spellingShingle |
Ye Guoju An Tianqing On Henstock-Dunford and Henstock-Pettis integrals International Journal of Mathematics and Mathematical Sciences |
author_facet |
Ye Guoju An Tianqing |
author_sort |
Ye Guoju |
title |
On Henstock-Dunford and Henstock-Pettis integrals |
title_short |
On Henstock-Dunford and Henstock-Pettis integrals |
title_full |
On Henstock-Dunford and Henstock-Pettis integrals |
title_fullStr |
On Henstock-Dunford and Henstock-Pettis integrals |
title_full_unstemmed |
On Henstock-Dunford and Henstock-Pettis integrals |
title_sort |
on henstock-dunford and henstock-pettis integrals |
publisher |
Hindawi Limited |
series |
International Journal of Mathematics and Mathematical Sciences |
issn |
0161-1712 1687-0425 |
publishDate |
2001-01-01 |
description |
We give the Riemann-type extensions of Dunford integral and Pettis
integral, Henstock-Dunford integral and Henstock-Pettis integral.
We discuss the relationships between the Henstock-Dunford integral
and Dunford integral, Henstock-Pettis integral and Pettis integral.
We prove the Harnack extension theorems and the convergence
theorems for Henstock-Dunford and Henstock-Pettis integrals. |
url |
http://dx.doi.org/10.1155/S0161171201002381 |
work_keys_str_mv |
AT yeguoju onhenstockdunfordandhenstockpettisintegrals AT antianqing onhenstockdunfordandhenstockpettisintegrals |
_version_ |
1725705516066275328 |