On Some Sequence Spaces and Lacunary σ-Statistical Convergence

Ekrem Savaş; Rahmet Savaş

doi:10.3390/mca8020165

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Article

1 August 2003

On Some Sequence Spaces and Lacunary σ-Statistical Convergence

and

Yüzüncü Yil University, Department of Mathematics, Van /Turkey

Indiana University, Department of Mathematics, Bloomington, IN47405

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Math. Comput. Appl.2003, 8(2), 165-172;https://doi.org/10.3390/mca8020165

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Abstract

In this note, we define and study two concepts which arise from the notion of lacunary strong convergence, and invariant means, namely lacunary strong σ- convergence with respect to an Orlizi function and lacunary a-statistical convergence and established the relationship between these two concepts.

Keywords:

Orlicz functions; Invariant Means; lacunary strong convergence; statistical convergence

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