FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 887-895

Riemann-type definition for the restricted Denjoy--Bohner integral

A. P. Solodov

Abstract

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The generalization of the restricted Denjoy integral is studied for the case of Banach-valued functions. The equivalence between this integral and the HL-integral defined with the use of generalized Riemann sums is proved.

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Last modified: December 23, 2001