Lacunary Statistically \phi- Convergence


Abstract


In this paper by using the lacunary sequence and Orlicz function \phi, we introduce a new concept of lacunary statistically \phi-convergence, as a generalization of the statistically \phi-convergence and \phi-convergence. Based on this concepts, introduce a new sequence space % S_{\theta}-\phi and investigate some of its basic properties. Also studied some inclusion relations.

DOI Code: 10.1285/i15900932v39n2p111

Keywords: Orlicz function; lacunary sequence; statistical convergence; $\phi-$convergence

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