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    WEIGHTED STATISTICAL CONVERGENCE OF REAL VALUED SEQUENCES
    (Univ Nis, 2020) Adem, Abdu Awel; Altinok, Maya
    Functions defined in the form g : N -> [0, infinity) such that lim(n ->infinity) g(n) = infinity and lim(n ->infinity) n/g(n) = 0n are called weight functions. Using the weight function, the concept of weighted density, which is a generalization of natural density, was defined by Balcerzak, Das, Filipczak and Swaczyna in the paper \Generalized kinsd of density and the associated ideals, Acta Mathematica Hungarica 147(1) (2015), 97-115. In this study, the definitions of g-statistical convergence and g-statistical Cauchy sequence for any weight function g are given and it is proved that these two concepts are equivalent. Also, some inclusions of the sets of all weight g(1)-statistical convergent and weight g(2)-statistical convergent sequences for g(1), g(2) which have the initial conditions are given.