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

Yavuz E.2024-07-222024-07-22201710641246http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15586We 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. Knoop[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. © 2017 - IOS Press and the authors.EnglishAll Open Access; Green Open AccessFuzzy rulesFuzzy numbersReal numberSequences of fuzzy numbersSummabilityTauberian theoremFuzzy setsEuler summability method of sequences of fuzzy numbers and a Tauberian theoremArticle10.3233/JIFS-161429