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Two valued measure and summability of double sequences

Pratulananda DasSantanu Bhunia — 2009

Czechoslovak Mathematical Journal

In this paper, following the methods of Connor [], we extend the idea of statistical convergence of a double sequence (studied by Muresaleen and Edely []) to μ -statistical convergence and convergence in μ -density using a two valued measure μ . We also apply the same methods to extend the ideas of divergence and Cauchy criteria for double sequences. We then introduce a property of the measure μ called the (APO 2 ) condition, inspired by the (APO) condition of Connor []. We mainly investigate the interrelationships...

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