### NEW TYPE OF ALMOST CONVERGENCE

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#### Abstract

In [1] for a given sequence $(\lambda_{n})$ with $\lambda_{n}< \lambda_{n+1} \rightarrow \infty$ a new summability method $C_{\lambda}$ was introduced which generalizes the classical Ces\`{a}ro method. In this paper, we introduce some new almost convergence and almost statistical convergence definitions for sequences which generalize the classical almost convergence and almost statistical convergence.

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DOI: https://doi.org/10.22190/FUMI200304056N

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