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On lacunary statistically quasi-Cauchy sequences

2011/02/08 by Hüseyi̇n Çakallı, Çakalli, Hüseyin, Çiğdem Gündüz Aras +3
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1102.1531

openalex publication_date 2011/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ward continuous real valued function on a lacunary statistically ward compact subset E⊂R is uniformly continuous.

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