TAUBERIAN THEOREMS FOR CESA`RO SUMMABILITY IN NEUTROSOPHIC NORMED SPACES

Abstract

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