Conservative Means of Orthogonal Series and the Spaces $$L^p [0;1] $$ , $$p in (1;infty ) $$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Conservative Means of Orthogonal Series and the Spaces $$L^p [0;1] $$ , $$p in (1;infty ) $$

Authors:	Brui I. N.

Affiliation:	(1) Baranovichi Branch, Belorussian Commerical University of Control, Russia

Abstract:	Necessary and sufficient conditions for an orthogonal series to be the Fourier series of a function in the space , , are obtained. In the special case of regular summation methods we recover the classical results of Orlicz and Lomnicki.

Keywords:	summation methods regular summation method conservative summation method orthogonal series Fourier series Lebesgue integrable function
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