Double sequences and Orlicz functions
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- Yurdakadim, T. & Tas, E. Period Math Hung (2013) 67: 47. doi:10.1007/s10998-013-6362-x
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In this paper we define strong A-convergence with respect to an Orlicz function for double sequences. We show, on bounded double sequences, that statistical convergence and strong A-convergence with respect to any Orlicz function are equivalent. This eliminates a condition of Demirci for bounded single (ordinary) sequences.