International Journal of Mathematics and Mathematical Sciences 
Volume 25 (2001), Issue 7, Pages 467-478
doi:10.1155/S0161171201002381

On Henstock-Dunford and Henstock-Pettis integrals

Ye Guoju and An Tianqing

 Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Received 22 October 1998

Abstract

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.