A Controlled Convergence Theorem for the C-Pettis Integral  

作　　者：Da Fang ZHAO Bi Wen LI 

机构地区：[1]School of Mathematics and Statistics, Hubei Normal University, Hubei 435002, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2010年第4期756-760,共5页数学研究与评论（英文版）

基　　金：Supported by the Natural Science Foundation of Hubei Province (Grant No.2007ABA124);the Science Foundation of Hubei Normal University (Grant No.2007D41)

摘　　要：In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We discuss the relationship between the C-Pettis integral and Pettis integral, and prove a controlled convergence theorem for the C-Pettis integral.In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We discuss the relationship between the C-Pettis integral and Pettis integral, and prove a controlled convergence theorem for the C-Pettis integral.

关 键 词：C-integral C-Pettis integral controlled convergence. 

分 类 号：O174.1[理学—数学]