Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces

Abstract

The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS). We show that Cesàro summability method is regular in an IFnNLS, but Cesàro summability does not imply usual convergence in general. Further, we search for additional conditions under which the converse holds.

Keywords

• intuitionistic fuzzy $n$-normed linear space
• ces`{a}ro summability
• tauberian theorem