ON Iλ- STATISTICAL CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS

ON Iλ- STATISTICAL CONVERGENCE OF SEQUENCES OF BI-COMPLEX NUMBERS

J. Hossain, S. Debnath

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Abstract

In this paper, we introduce the notion of Iλ- statistical convergence of sequences as one of the extensions of I-statistical convergence of bi-complex numbers. We investigate some fundamental properties of these notion and its relationship with Istatistical convergence of bi-complex numbers. In the end we introduce and investigate the concept of Iλ- statistical limit points, cluster points and establish some implication relations.

Keywords

Bi-complex number, ideal, filter, I- convergence, I- statistical convergence, Iλ- statistical convergence.