On subsequentially convergent sequences

Year 2019, Volume: 68 Issue: 2, 1473 - 1481, 01.08.2019

S.a. Sezer , İ. Çanak

https://doi.org/10.31801/cfsuasmas.540620

Abstract

In this study we obtain some sufficient conditions under which subsequential convergence of a sequence of real numbers follows from its boundedness. Eventually, we obtain crucial information about the subsequential behavior of sequences.

Keywords

Subsequential convergence, slowly oscillating sequences, logarithmic summability

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