Tauberian theorems for statistical Cesàro and statistical logarithmic summability of sequences in intuitionistic fuzzy normed spaces

Abstract

We define statistical Cesàro and statistical logarithmic summability methods of sequences in intuitionistic fuzzy normed spaces($IFNS$) and give slowly oscillating type and Hardy type Tauberian conditions under which statistical Cesàro summability and statistical logarithmic summability imply convergence in $IFNS$. Besides, we obtain analogous results for the higher order summability methods as corollaries. Also, two theorems concerning the convergence of statically convergent sequences in $IFNS$ are proved in the paper.

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