28 citations · 51 across the 26 of their papers we have counts for
4 papers · 1 filter
Sequential Definitions of Connectedness
Huseyin Cakalli
A topological group is called connected if the only subsets which are both open and closed are the whole space and the null set . A subset of a topological group…
Strongly Cesaro type quasi-Cauchy sequences
Huseyin Cakalli
In this paper we call a real-valued function -ward continuous if it preserves -quasi-Cauchy sequences where a sequence is defined to be -quasi…
On lacunary statistically quasi-Cauchy sequences
Hüseyin Çakalli, Çiğdem Gündüz Aras, Ayse Sonmez
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 continuitie…
Abel Continuity
Huseyin Cakalli, Mehmet Albayrak
A sequence of real numbers is called Abel convergent to if the series is convergent for and \[\lim_{x \to 1^{-}…