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STUDIA MATHEMATICA - Issue no. 4 / 2012 | |||||||
Article: |
BOOK REVIEWS: JAROSLAW KURZWEIL, GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS – NON ABSOLUTELY CONTINUOUS SOLUTIONS, SERIES IN REAL ANALYSISM, VOL. 11, WORLD SCIENTIFIC, LONDON - SINGAPORE - BEIJING, 2012, IX + 197 PAGES, ISBN: 13 978-981-4324-02-1 AND 10 981-4324-02-7. Authors: . |
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Abstract: Using a Riemann type approach, the author of the present book discovered in the fifties a new kind of integral, called non-absolutely convergent integral, which is more general than Lebesgue’s integral and agrees with it in case of absolute integrability. Since R. Henstock independently arrived at the same conclusions, approximatively at the same time, the integral is known as the Henstock-Kurzweil (HK) integral. | |||||||