Yazar "Çakalli H." seçeneğine göre listele

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    Forward continuity
    (2011) Çakalli H.
    A real function f is continuous if and only if (f(xn)) is a convergent sequence whenever (xn) is convergent and a subset E of R is compact if any sequence x = (xn) of points in E has a convergent subsequence whose limit is in E where R is the set of real numbers. These well known results suggest us to introduce a concept of forward continuity in the sense that a function f is forward continuous if limn›? ?f(xn) = 0 whenever limn›? ?xn = 0 and a concept of forward compactness in the sense that a subset E of R is forward compact if any sequence x = (xn) of points in E has a subsequence z = (zk) = (xnk) of the sequence x such that limk›? ?zk = 0 where ?zk = zk+1-zk. We investigate forward continuity and forward compactness, and prove related theorems. © 2011 by Eudoxus Press,LLC All rights reserved.
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    On absolutely almost convergence
    (Sciendo, 2017) Çakalli H.; Taylan E.I.
    In this paper, we study (Pn, s)-absolutely almost convergence where npn = 0(Pn) as n › ?,Pn = Pn ?n v=0 pv and s > 0. We also give necessary and sufficient conditions for a summability matrix to be (?n, s)-absolutely almost conservative, and obtain some inclusion results. © 2017, Sciendo. All rights reserved.
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    On connectedness via a sequential method
    (2013) Çakalli H.; Mucuk O.
    Recently, the first author has introduced a concept of G-sequential connectedness in the sense that a non-empty subset A of a Hausdorff topological group X is G-sequentially connected if the only subsets of A which are both G-sequentially open and G-sequentially closed are A and the empty set Ø. In this paper we investigate further properties of G-sequential connectedness and obtain some interesting results.