A Note on Probability Convergence Defined by Unbounded Modulus Function and $alphabeta$-Statistical Convergence
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Authors: S. SOM
DOI: 10.46793/KgJMat2101.127S
Abstract:
In this paper we define f − αβ-statistical convergence of order γ in probability and f − αβ-strong p-Ces
ro summability of order γ in probability for a sequence of random variables under unbounded modulus function and examine the relation between these two concepts. We show by an example that this notion of f − αβ-statistical convergence of order γ in probability is stronger than αβ-statistical convergence of order γ in probability [?].
Keywords:
αβ-statistical convergence, f-statistical convergence, f − αβ-statistical convergence of order γ in probability, f − αβ-strong p-Ces
ro summability of order γ in probability.
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