THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK

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Mathematical Sciences and Applications E-Notes
Volume:3 Issue:2
THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK

THE RANDOM OF LACUNARY STATISTICAL ON χ^2 OVER p− METRIC SPACES DEFINED BY MUSIELAK

Authors : R BABU, N SUBRAMANIAN, P THIRUNAVUKKARASU

Pages : 84-98

Doi:10.36753/mathenot.421335

View : 44 | Download : 10

Publication Date : 2015-10-30

Article Type : Research Paper

Abstract :Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-normed spaces. In this paper, we define and study the notion of lacunary statistical convergence and lacunary of statistical Cauchy sequences in random on χ 2 over p− metric spaces defined by Musielak and prove some theorems which generalizes Mohiuddine and Aiyup results.
Keywords : analytic sequence, double sequences, χ 2 space, Musielak modulus function, Random p metric space, Lacunary sequence, Statistical convergence

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