On the Henstock-Kurzweil-Dunford and Kurzweil-Henstock-Pettis integrals

DOI10.1216/RMJ-2009-39-4-1233zbMath1214.28009OpenAlexW1985765587MaRDI QIDQ2270584

Ye Guoju

Publication date: 28 July 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-4-1233

zbMATH Keywords

Kurzweil-Henstock integralKurzweil-Henstock-Pettis integralKurzweil-Henstock-Dunford integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (3)

Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on m-dimensional compact intervals ⋮ Countable additivity of Henstock-Dunford integrable functions and Orlicz space ⋮ The Darboux problem involving the distributional Henstock–Kurzweil integral

Cites Work

• The McShane and the Pettis integral of Banach space-valued functions defined on \(\mathbb{R}^m\)
• Every absolutely Henstock-Kurzweil integrable function is McShane integrable: an alternative proof
• The McShane integral of Banach-valued functions
• The Henstock variational measure, Baire functions and a problem of Henstock
• The Riemann integral using ordered open coverings
• The Denjoy extension of the Bochner, Pettis, and Dunford integrals
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