Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.
Tulone F, Musial P (2015). Integration by parts for the Lr Henstock-Kurzweil integral. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015(44), 1-7.
Integration by parts for the Lr Henstock-Kurzweil integral
TULONE, Francesco;
2015-01-01
Abstract
Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.
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