Euler summability method of sequences of fuzzy numbers and a Tauberian theorem

Abstract

We introduce Euler summability method for sequences of fuzzy numbers and state a Tauberian theorem concerning Euler summability method, of which proof provides an alternative to that of K. Knopp[Über das Eulersche Summierungsverfahren II, Math. Z. 18 (1923)] when the sequence is of real numbers. As corollaries, we extend the obtained results to series of fuzzy numbers.

8 pages

Cited by in corpus (2)

• Comparison theorems for summability methods of sequences of fuzzy numbers
• On the resummation of series of fuzzy numbers via generalized Dirichlet and generalized factorial series