Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces

Abstract

We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean summability. This study reveals also Tauberian results for some known summation methods in the special cases.

Keywords

• tauberian theorem
• double sequence
• intuitionistic fuzzy
• summability methods
• summation methods