Cesaro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems
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Abstract
We define the concept of Cesaro summability method in intuitionistic fuzzy normed spaces and prove a related Tauberian theorem. Also, we define slowly oscillating sequences in intuitionistic fuzzy normed spaces, prove related theorems and show that Cesaro summability of slowly oscillating sequences implies ordinary convergence in intuitionistic fuzzy normed spaces. Finally, we give an analogue of classical two-sided Tauberian theorem due to Hardy by using the concept of q-boundedness.