Geodesic
On the Henstock Strong Variational Integral
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 87-99

Voir la notice de l'article provenant de la source Cambridge University Press

The theory of integration in division spaces introduced by Henstock ([3], [4]) serves to unite and simplify much of the classical material on nonabsolute integration as well as to provide a new approach to Lebesgue integration. In this paper we sketch a simplified approach to the division space theory and show how it can lead rapidly to the standard Lebesgue-type theory without a substantial departure from the usual methods; some applications to integration in locally compact spaces are briefly developed. 
Thomson, B. S. On the Henstock Strong Variational Integral. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 87-99. doi: 10.4153/CMB-1971-016-7
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[1] 1. Dinculeanu, N., Vector measures, Pergamon Press, New York, 1967. Google Scholar

[2] 2. Henstock, R., Theory of integration, Butterworth, London, 1963. Google Scholar

[3] 3 Linear analysis, Butterworth, London, 1967. Google Scholar

[4] 4. Henstock, R., Generalized integrals of vector-valued functions, Proc. London Math. Soc. (3) 19 (1969), 509-536. Google Scholar

[5] 5. McShane, E. J., A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner, and stochastic integrals, Mem. Amer. Math. Soc, no. 88, 1969. Google Scholar

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