This article is cited in 4 papers

Trigonometric series summable by means of Riemann's method

G. G. Gevorkyan

Yerevan State University

Abstract: Formulas are established for determining the coefficients of a trigonometric series summable almost everywhere by Riemann's method whose Riemann majorant satisfies a certain necessary condition that guarantees uniqueness. Examples are also presented of trigonometric series that show that the results obtained are definitive.

UDC: 517

Received: 12.05.1990

 English version: Mathematical Notes, 1992, 52:3, 880–895

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