Results 11 to 20 of about 21,951 (149)
Variations on quasi-Cauchy sequences
Filomat, 2015 In this paper, we introduce and study new kinds of continuities. It turns out that a function f defined on an interval is uniformly continuous if and only if there exists a positive integer p such that f preserves p-quasi-Cauchy sequences where a sequence (xn) is called p-quasi-Cauchy if the sequence of differences between p-successive ...
Huseyin Cakalli
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ϕ -statistically quasi Cauchy sequences
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bipan Hazarika
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Statistical quasi-Cauchy sequences
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Cakalli
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Beyond cauchy and quasi-Cauchy sequences
Filomat, 2018 In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward quasi-Cauchy sequences; and is upward continuous if it preserves upward quasi-Cauchy sequences, where a sequence (xk) of points in R is ...
Huseyin Cakalli
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On statistical convergence in quasi-metric spaces
Demonstratio Mathematica, 2019 A quasi-metric is a distance function which satisfies the triangle inequality but is not symmetric in general. Quasi-metrics are a subject of comprehensive investigation both in pure and applied mathematics in areas such as in functional analysis ...
İlkhan Merve, Kara Emrah Evren
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Variations on strong lacunary quasi-Cauchy sequences
Journal of Nonlinear Sciences and Applications, 2016 We introduce a new function space, namely the space of Nθ (p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. Nθα(p)-ward continuity is also introduced and investigated for any fixed 0 < α ≤ 1, and for any fixed positive integer p. A real valued function f defined on a
Kaplan, Huseyin, Cakalli, Huseyin
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Quasi Cauchy double sequences [PDF]
Tbilisi Mathematical Journal, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patterson, Richard F., Cakalli, Huseyin
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Delta quasi Cauchy sequences in metric spaces [PDF]
AIP Conference Proceedings, 2021 In this extended abstract, we introduce the concept of delta quasi Cauchy sequences in metric spaces. A function f defined on a subset of a metric space X to X is called delta ward continuous if it preserves delta quasi Cauchy sequences, where a sequence (xk) of points in X is called delta quasi Cauchy if limn→∞[d(xk+2,xk+1)−d(xk+1,xk)]=0.
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Abel statistical delta quasi Cauchy sequences [PDF]
AIP Conference Proceedings, 2019 International Conference of Mathematical Sciences (ICMS) -- JUL 31-AUG 06, 2018 -- Maltepe Univ, Istanbul ...
Taylan, İffet, Çakallı, Hüseyin
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Statistically quasi Cauchy sequences in abstract metric spaces [PDF]
AIP Conference Proceedings, 2019 In this extended abstract, we introduce a concept of statistically quasi-Cauchyness of a sequence in X in the sense that a sequence (xk) is statistically quasi-Cauchy in X if limn→∞ 1n |{k ≤ n : d(xk+1, xk) − c ∈ P}| for each c ∈P where (X, d) is a cone metric space, and P denotes interior of a cone P of X. It turns out that a function f from a totally
Sönmez, Ayşe, Çakallı, Hüseyin
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