Comparison of Some Trigonometric Integrals


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Abstract

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.

About the authors

P. A. Sworowski

Casimirus the Great University

Author for correspondence.
Email: piotrus@ukw.edu.pl
Poland, Bydgoszcz, 85-064

V. A. Skvortsov

Lomonosov Moscow State University

Email: piotrus@ukw.edu.pl
Russian Federation, Moscow, 119991

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