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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 301–308
DOI: https://doi.org/10.4213/mzm11745 (Mi mzm11745) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Comparison of Some Trigonometric Integrals

P. A. Sworovskya, V. A. Skvortsovb

a Kazimierz Wielki University
b Lomonosov Moscow State University
Full-text PDF (475 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11745
Abstract: We show that Preiss–Thomson's AS-integral is inconsistent with Burkill's SCP-integral, James' $\mathrm P^2$-integral, and Denjoy's totalization $\mathrm{T}_{2s}$ over the class of functions with continuous primitives.
Keywords: symmetric Cesàro derivative, approximate symmetric derivative, Denjoy's totalization $\mathrm T_{2s}$, Burkill's SCP-integral, Preiss–Thomson's AS-integral, James' $\mathrm P^2$-integral.
Funding agency Grant number
Kazimierz Wielki University, Poland
Received: 13.07.2017
Revised: 15.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 303–308
DOI: https://doi.org/10.1134/S0001434618070313
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: P. A. Sworovsky, V. A. Skvortsov, “Comparison of Some Trigonometric Integrals”, Mat. Zametki, 104:2 (2018), 301–308; Math. Notes, 104:2 (2018), 303–308
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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