Euler summability method of sequences of fuzzy numbers and a Tauberian theorem
Enes Yavuz
TL;DR
This paper introduces an Euler summability method for sequences of fuzzy numbers and establishes a Tauberian theorem, extending classical results to fuzzy contexts with alternative proofs and corollaries for series.
Contribution
It develops a new Euler summability method for fuzzy number sequences and proves a related Tauberian theorem, extending classical summability results to fuzzy analysis.
Findings
Established Euler summability for fuzzy sequences.
Proved a Tauberian theorem for fuzzy sequences.
Extended results to fuzzy series.
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[\"Uber 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.
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