Continuous Linear Functional Score on the Space of DH[a,b]
LI Wei
Abstract:On the basis of Henstock integration,put all the integrable functions that make up the space on the [a,b] called Denjoy space (abbreviated as DH [a,b] space),to establish the basic concepts related to Denjoy integration,to give a score of continuous linear functional on the DH[a,b] space.And in the absolute type of Henstock integral and Riemann-Stieltjes integral relationship on the basis of the theorem,to give a simple proof of this continuous linear functional score.
Keywords:Henstock integralDenjoy integralDH spacegeneralized absolutely continuous
Publication Date:2017-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:3( 53-55 )
