Convergence theorems for the Perron integral and Sklyarenko's condition
Schwabik, Štefan
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 237-244 / Harvested from Czech Digital Mathematics Library
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It is shown that a uniform version of Sklyarenko's integrability condition for Perron integrals together with pointwise convergence of a sequence of integrable functions are sufficient for a convergence theorem for Perron integrals.

Publié le : 1992-01-01
Classification:  26A39 
@article{118491,
     author = {\v Stefan Schwabik},
     title = {Convergence theorems for the Perron integral and Sklyarenko's condition},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {237-244},
     zbl = {0774.26004},
     mrnumber = {1189654},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118491}
}

Schwabik, Štefan. Convergence theorems for the Perron integral and Sklyarenko's condition. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 237-244. http://gdmltest.u-ga.fr/item/118491/

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