On Riesz almost lacunary Cesaro $\left[C,1,1,1\right]$ statistical convergence in probabilistic space of $\chi^{3\Delta}_{f}$

Abstract: In this paper we study the concept of almost lacunary statistical Cesaro of $\chi^{3}$ over probabilistic space $P$ is defined by Musielak Orlicz function. Since the study of convergence in Probabilistic space $P$ is fundamental to probabilistic functional analysis, we feel that the concept of almost lacunary statistical Cesaro of $\chi^{3}$ over probabilistic space $P$ is defined by Musielak in a probabilistic space $P$ would provide a more general framework for the subject.

Keywords: analytic sequence, Orlicz function, triple sequences, chi sequence, Riesz space, statistical convergence,Cesaro $C_{1,1,1}-$ statistical convergence

Classification (MSC2000): 40F05; 40J05, 40G05

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