ACTA issues

## On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Ushangi Goginava, Artur Sahakian

Acta Sci. Math. (Szeged) 77:3-4(2011), 451-471
19/2010

 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.)