Density by Moduli and Statistical Boundedness
Keyword(s):
We have generalized the notion of statistical boundedness by introducing the concept off-statistical boundedness for scalar sequences wherefis an unbounded modulus. It is shown that bounded sequences are precisely those sequences which aref-statistically bounded for every unbounded modulusf. A decomposition theorem forf-statistical convergence for vector valued sequences and a structure theorem forf-statistical boundedness have also been established.
2019 ◽
Vol 2019
(1)
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2006 ◽
Vol 58
(1)
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pp. 139-146
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Keyword(s):
2008 ◽
Vol 17
(04)
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pp. 511-520
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Keyword(s):
2001 ◽
Vol 26
(11)
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pp. 671-678
Keyword(s):
2005 ◽
Vol 10
(4)
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pp. 345-352
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