Glasnik Matematicki, Vol. 51, No. 1 (2016), 175-196.

ON THE ALMOST CONVERGENCE OF DOUBLE SEQUENCES

Davor Butković

Abstract.   We find necessary and sufficient conditions for transformations of double sequences almost convergent in the sense of G.H. Hardy to double sequences convergent in the sense of F. Pringsheim. The results extend the work of F. Móricz and B.E. Rhoades on transformations of sequences almost convergent in the Pringsheim's sense.

2010 Mathematics Subject Classification.   40A05, 40B05, 40C05.

Key words and phrases.   Almost convergence, double sequences, Hardy convergence, transformation matrices.

DOI: 10.3336/gm.51.1.11

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