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Two valued measure and summability of double sequences

Pratulananda Das, Santanu Bhunia (2009)

Czechoslovak Mathematical Journal

In this paper, following the methods of Connor [connor], we extend the idea of statistical convergence of a double sequence (studied by Muresaleen and Edely [moe]) 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 [jc]. We mainly investigate...

Displaying 41 – 45 of 45

Two valued measure and summability of double sequences

Борелевское суммирование n-кратных рядов и целые функции, ассоциированные с ними.

О сходимости и абсолютной сходимости двойных рядов по полиномам

Об областях абсолютной сходимости степенных рядов с двумя переменными

Об одном методе суммирования Бореля n-кратных степенных рядов

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