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- W1996493790 abstract "In this paper, we prove that the ordinary core of a sequence x = (x i ) of real numbers is equal to its 2-limit set, where : = inf {r ≥ 0:LIM r x ≠ Ø}. Defining the sets r-limit inferior and r-limit superior of a sequence, we show that the r-limit set of the sequence is equal to the intersection of these sets and that r-core of the sequence is equal to the union of these sets. Finally, we prove an ordinary convergence criterion that says a sequence is convergent iff its rough core is equal to its rough limit set for the same roughness degree." @default.
- W1996493790 created "2016-06-24" @default.
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- W1996493790 date "2008-04-18" @default.
- W1996493790 modified "2023-09-24" @default.
- W1996493790 title "The Rough Limit Set and the Core of a Real Sequence" @default.
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- W1996493790 doi "https://doi.org/10.1080/01630560802001056" @default.
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