-Asymptotically Lacunary Equivalent Sequences

Tunay Bilgin

International Journal of Analysis, 2014, vol. 2014, 1-8

Abstract:

We introduce the strong -asymptotically equivalent and strong -asymptotically lacunary equivalent sequences which are some combinations of the definitions for asymptotically equivalent, statistical limit, modulus function, -convergence, and lacunary sequences. Then we use these definitions to prove strong -asymptotically equivalent and strong -asymptotically lacunary equivalent analogues of Connor’s results in Connor, 1988, Fridy and Orhan’s results in Fridy and Orhan, 1993, and Das and Patel’s results in Das and Patel, 1989.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:945902

DOI: 10.1155/2014/945902

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