Comparison of Some Trigonometric Integrals


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We show that Preiss–Thomson’s AS-integral is inconsistent with Burkill’s SCPintegral, James’ P2-integral, and Denjoy’s totalization T2s over the class of functions with continuous primitives.

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P. Sworowski

Casimirus the Great University

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Email: piotrus@ukw.edu.pl
波兰, Bydgoszcz, 85-064

V. Skvortsov

Lomonosov Moscow State University

Email: piotrus@ukw.edu.pl
俄罗斯联邦, Moscow, 119991

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