This article is cited in 12 papers

On the Properties of the $Q$-Integral

M. P. Efimova

M. V. Lomonosov Moscow State University

Abstract: We study the Titchmarsh $Q$-integral, its generalization, and its elementary properties are studied; integrability criteria on sets of finite measure are obtained.

Keywords: $Q$-integral, $A$-integral, integrability criterion, Kurzweil–Henstock integral, Lebesgue criterion, Fourier series, conjugate trigonometric series.

UDC: 517.518.126

Received: 08.07.2010
Revised: 14.10.2010

DOI: 10.4213/mzm9222

 English version: Mathematical Notes, 2011, 90:3, 322–332

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