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Zbl 0852.26008
Jurkat, W.B.; Nonnenmacher, D.J.F.
A Hake-type property for the $\nu\sb 1$-integral and its relation to other integration processes. (English)
[J] Czech. Math. J. 45, No.3, 465-472 (1995). ISSN 0011-4642; ISSN 1572-9141/e

Specializing their abstract concept of non-absolutely convergent integrals, the authors have introduced the $\nu_1$-integral which extends the $M_1$-integral of Jarník-Kurzweil-Schwabik and Pfeffer's variational integral.\par In this paper, a Hake-property is stated and proved for this integral.
[J.Mawhin (Louvain-La-Neuve)]

MSC 2000:: *26B20 Integral formulas
26A39 Special integrals of functions of one real variable

Keywords: gauge integrals; Hake's property; non-absolutely convergent integrals; $\nu\sb 1$-integral

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