On Henstock-Dunford and Henstock-Pettis integrals

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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Main Authors: Ye Guoju, An Tianqing
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201002381
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spelling 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
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