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A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili. (English) Zbl 1027.26012

Summary: We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of the so-called Chelidze-Djvarsheishvili filtering. An approximate version of this integral is introduced and the relations of the two integrals are investigated.

MSC:

26B15 Integration of real functions of several variables: length, area, volume
26A39 Denjoy and Perron integrals, other special integrals
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