A UNIFORM CONVERGENCE THEOREM FOR APPROXIMATE HENSTOCK-STIELTJES INTEGRAL

Title & Authors
A UNIFORM CONVERGENCE THEOREM FOR APPROXIMATE HENSTOCK-STIELTJES INTEGRAL
Im, Sung-Mo; Kim, Yung-Jinn; Rim, Dong-Il;

Abstract
In this paper, we introduce, for each approximate distribution $\small{\~{T}}$ of [a, b], the approximate Henstock-Stieltjes integral with value in Banach spaces. The Henstock integral is a special case of this where \$\~{T}\;
Keywords
bilinear triple;approximate distribution;approximate Henstock-Stieltjes integral;
Language
English
Cited by
References
1.
Amer. Math. Soc., Providence,

2.
Lectures on the theory of integration,

3.
Math. Bohem., vol.121. 4, pp.425-447