Abstract. The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial $\Lambda $-variation is investigated. The sufficient and neccessary conditions on the sequence $\Lambda =\{\lambda_{n}\} $ are found for the convergence of Cesàro means of Fourier series of functions of bounded partial $\Lambda $-variation.
AMS Subject Classification
(1991): 42B08
Keyword(s):
Fourier series,
$\Lambda $-variation,
generalized variation,
Cesàro means
Received March 12, 2010, and in revised form May 17, 2010. (Registered under 19/2010.)
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