International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 7, Pages 467-478
On Henstock-Dunford and Henstock-Pettis integrals
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Received 22 October 1998
Copyright © 2001 Ye Guoju and An Tianqing. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.