In this paper,we introduce and study the concept of McShane delta integral on time scales.We discuss the relationship between McShane delta integral and Henstock delta integral,and prove a dominated convergence theore...In this paper,we introduce and study the concept of McShane delta integral on time scales.We discuss the relationship between McShane delta integral and Henstock delta integral,and prove a dominated convergence theorems for the McShane delta integral.展开更多
This article studies some convergence results for the McShane integral of functions mapping the interval [0, 1] into a Banach space X from the point of view of an open problem proposed by D.H.Fremlin and J. Mendoza in...This article studies some convergence results for the McShane integral of functions mapping the interval [0, 1] into a Banach space X from the point of view of an open problem proposed by D.H.Fremlin and J. Mendoza in [2], also the authors give a negative answer to this open problem.展开更多
文摘In this paper,we introduce and study the concept of McShane delta integral on time scales.We discuss the relationship between McShane delta integral and Henstock delta integral,and prove a dominated convergence theorems for the McShane delta integral.
基金Supported by NNSF of China(10571085)Science Foundation of Hohai University and grant No.201/04/0690 of the GA of the Czech Republic
文摘This article studies some convergence results for the McShane integral of functions mapping the interval [0, 1] into a Banach space X from the point of view of an open problem proposed by D.H.Fremlin and J. Mendoza in [2], also the authors give a negative answer to this open problem.
