The equivalence of R*δ-integral to D*δ-integral

Closed

Manuharawati

2019 Journal of Analysis and Applications Vol. 17 Issue 2 Article Cited by 0 Quartile

Abstract

Given two real numbers a and b where a < b. Let δ be a nonnegative real function on interval [a, b]. By changing the role of interval system on R by δ-fundamental interval system, we construct the δ -Henstock integral (R*δ-integral) of real function on [a, b]. We discuss some properties of the integral. Furthermore, we also discuss the equivalence of R*δ-integral to δ-special Denjoy integral (D*δ-integral). © SAS International Publications.

Affiliations

Department of Mathematics, Universitas Negeri Surabaya, Surabaya, 60231, Indonesia