The Henstock-Kurzweil approach to Young integrals with integrators in BVφ

Title:

The Henstock-Kurzweil approach to Young integrals with integrators in BVφ

Creator:

Varayu, Boonpogkrong and Chew, Tuan-Seng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8f9544fa-12b0-4e7b-a2ce-7efba9a844cf
uuid:8f9544fa-12b0-4e7b-a2ce-7efba9a844cf
doi:10.21136/MB.2006.134138

Subject:

Henstock integral, Stieltjes integral, Young integral, and ϕ-variation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In 1938, L. C. Young proved that the Moore-Pollard-Stieltjes integral R b a f dg exists if f ∈ BVϕ[a, b], g ∈ BVψ[a, b] and ∑∞ n=1 ϕ −1 (1/n)ψ −1 (1/n) < ∞. In this note we use the Henstock-Kurzweil approach to handle the above integral defined by Young.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

233-260

Source:

Mathematica bohemica | 2006 Volume:131 | Number:3

Harvested from:

CDK

Metadata only:

false