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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2006 Volume 79, Issue 2, Pages 278–287 (Mi mzm2695)
This article is cited in 5 papers

Comparison of Two Generalized Trigonometric Integrals

V. A. Skvortsova, N. N. Kholshchevnikovab

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow State Technological University "Stankin"

Abstract: The $P^2$-integral of James is compared with the $T^2$-integral. A trigonometric series convergent almost everywhere to a function which is $T^2$-integrable but not $P^2$-integrable is constructed.

UDC: 517.5

Received: 11.11.2004
Revised: 27.04.2005

DOI: 10.4213/mzm2695


 English version: Mathematical Notes, 2006, 79:2, 254–262

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© Steklov Math. Inst. of RAS, 2025