some conditions under which slow oscillation of a sequence of fuzzy numbers follows from ces`{a}ro summability of its generator sequence
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abstract
let $(u_n)$ be a sequence of fuzzy numbers. we recover the slow oscillation of $(u_n)$ of fuzzy numbers from the ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. further, fuzzy analogues of some well known classical tauberian theorems for ces`{a}ro summability method are established as particular cases.
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Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Ces`{a}ro summability of its generator sequence
Let $(u_n)$ be a sequence of fuzzy numbers. We recover the slow oscillation of $(u_n)$ of fuzzy numbers from the Ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. Further, fuzzy analogues of some well known classical Tauberian theorems for Ces`{a}ro summability method are established as particular cases.
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Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 11
issue 4 2014
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