Tauberian theorems for Cesaro summability in neutrosophic normed spaces

In this paper, we introduce the concepts of Cesaro summability and Tauberian theorem in neutrosophic normed spaces. We study that Cesaro summability in neutrosophic norm space does not imply ordinary convergence, and we give an example in support of our statement. We define slowly oscillating sequences in neutrosophic normed spaces and prove that Cesaro summability of slowly oscillating sequences implies ordinary convergence in neutrosophic normed spaces. Finally, we define q-bounded sequence with respect to the neutrosophic norm and also show how it relates to oscillating sequence in neutrosophic normed spaces.