Generalized Almost Convergence and Core Theorems of Double Sequences
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The idea of[λ, μ]-almost convergence (briefly,F[λ, μ]-convergence) has been recently introduced and studied by Mohiuddine and Alotaibi (2014). In this paper first we define a norm onF[λ, μ]such that it is a Banach space and then we define and characterize those four-dimensional matrices which transformF[λ, μ]-convergence of double sequencesx=(xjk)intoF[λ, μ]-convergence. We also define aF[λ, μ]-core ofx=(xjk)and determine a Tauberian condition for core inclusions and core equivalence.
2014 ◽
pp. 17-39
1995 ◽
Vol 30
(3)
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pp. 177-181
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1986 ◽
Vol 62
(2)
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pp. 213-221
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1988 ◽
Vol 104
(2)
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pp. 283-294
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Keyword(s):