FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 1, PAGES 105-119

The Cesaro average for orthogonal-like decomposition systems with non-negative measure

A. N. Pavlikov

Abstract

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We prove that in case of orthogonal-like decomposition systems with non-negative measure the Abel--Poisson's method of summation is equivalent to positive Cesaro's methods for convergence almost everywhere. A criterion for summability of a sequence of partial integrals almost everywhere is given.

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Last modified: May 10, 2001