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Statistical convergence of martingale difference sequence via deferred weighted mean and Korovkin-type theorems

Statistical convergence of martingale difference sequence via deferred weighted mean and Korovkin-type theorems

In the present paper, we introduce and study the concepts of statistical convergence and statistical summability for martingale difference sequences of random variables via deferred weighted summability mean.We then establish an inclusion theorem concerning the relation between these two beautiful concepts.Also, based upon our proposed notions, we state and prove …