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(f, p)-Asymptotically Lacunary Equivalent Sequences with Respect to the Ideal I

DOI: 10.4236/jamp.2015.39148, PP. 1207-1217

Keywords: Asymptotically Equivalence, Ideal Convergence, Lacunary Sequence, Modulus Function, Statistically Limit

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Abstract:

In this study, we define (f, p)-Asymptotically Lacunary Equivalent Sequences with respect to the ideal I using a non-trivial ideal \"\", a lacunary sequence \"\", a strictly positive sequence \"\", and a modulus function f, and obtain some revelent connections between these notions.

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