Every absolutely Henstock-Kurzweil integrable function is McShane integrable: an alternative proof

DOI10.1216/rmjm/1181069805zbMath1064.28011OpenAlexW2031985683MaRDI QIDQ1767350

Tuo Yeong Lee

Publication date: 10 March 2005

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181069805

zbMATH Keywords

McShane integralabsolutely strongly Henstock-Kurzweil integrable function

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• Kurzweil-Henstock absolute integrable means McShane integrable
• On the Strong McShane Integral of Functions with Values in a Banach Space
• Generalized ordinary differential equations and continuous dependence on a parameter
• Definitions of Riemann Type of the Variational Integrals
• A Full Descriptive Definition of the Henstock–Kurzweil Integral in the Euclidean Space
• Perron-type integration on $n$-dimensional intervals and its properties
• A Unified Theory of Integration
• On absolutely Henstock integrable functions

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