ON INTEGRALS WITH INTEGRATORS IN BV^sub p

ON INTEGRALS WITH INTEGRATORS IN BV^sub p

In 1936, L. C. Young proved that the Riemann-Stieltjes integral ... do not have common discontinuous points. In this note, using Henstock's approach, we prove that ∫^sup b^^sub a^ f dg still exists without assuming the condition on discontinuous points. Some convergence theorems are also proved...

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Veröffentlicht in:Real analysis exchange 2004-01, Vol.30 (1), p.193
Hauptverfasser: Boonpogkrong, Varayu, Chew, Tuan Seng
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Convergence
Mathematical functions
Theorems
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Zusammenfassung:In 1936, L. C. Young proved that the Riemann-Stieltjes integral ... do not have common discontinuous points. In this note, using Henstock's approach, we prove that ∫^sup b^^sub a^ f dg still exists without assuming the condition on discontinuous points. Some convergence theorems are also proved. [PUBLICATION ABSTRACT]
ISSN:0147-1937
1930-1219