Yazar "Kaplan, Huseyin" seçeneğine göre listele

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    A New Study on the Strongly Lacunary Quasi Cauchy Sequences
    (Amer Inst Physics, 2018) Cakalli, Huseyin; Kaplan, Huseyin
    In this paper, the concept of a strongly lacunary delta(2) quasi-Cauchy sequence is introduced. We proved interesting theorems related to strongly lacunary delta(2) -quasi-Cauchy sequences. A real valued function f defined on a subset A of the set of real numbers, is strongly lacunary delta(2) ward continuous on A if it preserves strongly lacunary delta(2) quasi-Cauchy sequences of points in A, i.e. (f(alpha(k))) is a strongly lacunary delta(2) quasi-Cauchy sequence whenever (alpha(k)) is a strongly lacunary delta(2) quasi-Cauchy sequences of points in A, where a sequence (alpha(k)) is called strongly lacunary delta(2) quasi-Cauchy if (Delta(2)alpha(k)) is a strongly lacunary delta(2) quasi-Cauchy sequence where Delta(2)alpha(k) = alpha(k+2)-2 alpha(k+1)+ alpha(k) for each positive integer k.
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    A Study on N-theta-Quasi-Cauchy Sequences
    (HINDAWI LTD, 2013) Cakalli, Huseyin; Kaplan, Huseyin
    Recently, the concept of N-theta-ward continuity was introduced and studied. In this paper, we prove that the uniform limit of N-theta-ward continuous functions is N-theta-ward continuous, and the set of all N-theta-ward continuous functions is a closed subset of the set of all continuous functions. We also obtain that a real function f defined on an interval E is uniformly continuous if and only if (f (alpha(k))) is N-theta-quasi-Cauchy whenever (alpha(k)) is a quasi-Cauchy sequence of points in E.
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    A study on variations on strongly lacunary quasi Cauchy sequences
    (Amer Inst Physics, 2019) Kaplan, Huseyin
    In this paper we call a real-valued function N-theta p-ward continuous if it preserves N-theta p-quasi-Cauchy sequences where a sequence alpha = (alpha(k)) is defined to be N-theta p-quasi-Cauchy when the sequence Delta(p)alpha is in N-theta(0). We prove interesting continuity type theorems.
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    A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES
    (ANKARA UNIV, FAC SCI, 2017) Cakalli, Huseyin; Kaplan, Huseyin
    In this paper, the concept of a lacunary statistically delta-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to lacunary statistically delta-ward continuity, and some other kinds of continuities. A real valued function f defined on a subset A of R, the set of real numbers, is called lacunary statistically S ward continuous on A if it preserves lacunary statistically delta quasi-Cauchy sequences of points in A, i.e. (f (alpha(k))) is a lacunary statistically delta quasi-Cauchy sequence whenever (alpha(k)) is a lacunary statistically delta quasi-Cauchy sequence of points in A, where a sequence (alpha(k)) is called lacunary statistically delta quasi-Cauchy if (Delta alpha(k)) is a lacunary statistically quasi-Cauchy sequence. It turns out that the set of lacunary statistically delta ward continuous functions is a closed subset of the set of continuous functions.
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    A VARIATION ON STRONGLY LACUNARY WARD CONTINUITY
    (UNIV PRISHTINES, 2016) Cakalli, Huseyin; Kaplan, Huseyin
    In this paper, the concept of a strongly lacunary delta-quasi-Cauchy sequence is investigated. A real valued function f defined on a subset A of R, the set of real numbers, is called strongly lacunary delta ward continuous on A if it preserves strongly lacunary delta quasi-Cauchy sequences of points in A, i.e. (f(alpha(k))) is a strongly lacunary delta quasi-Cauchy sequence whenever (alpha(k)) is a strongly lacunary delta quasi-Cauchy sequences of points in Lambda, where a sequence (alpha(k)) is called strongly lacunary delta quasi-Cauchy if (Delta(alpha k)) is a strongly lacunary quasi-Cauchy sequence where Delta(2 alpha)k = alpha(k+2)-2 alpha(k+1) + alpha(k) for each positive integer k. It turns out that the set of strongly lacunary delta ward continuous functions is a closed subset of the set of continuous functions.
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    Are follistatin-like protein 1 and follistatin-like protein 3 associated with inflammatory processes in patients with familial Mediterranean fever?
    (Kare Publ, 2023) Kaplan, Huseyin; Calis, Mustafa; Yazici, Cevat; Gunturk, Inayet; Cuce, Isa; Senel, Abdurrahman Soner
    OBJECTIVE: Follistatin-like protein 1 (FSTL-1) and follistatin-like protein 3 (FSTL-3) are glycoproteins whose associations with inflammatory cytokines were reported in previous studies. However, it is not yet known whether they have an effect on the pathogenesis of familial Mediterranean fever (FMF). We aimed to detect the FSTL-1 and FSTL-3 levels and to determine their relationship to the attack status and mutation types in patients with FMF. METHODS: Fifty-six FMF patients and 22 healthy controls (HCs) were included in the study. Serum FSTL-1 and FSTL-3 levels were measured with the enzyme-linked immunosorbent assay method from collected serum samples. In addition, the MEditerranean FeVer (MEFV) gene mutation types of the patients were noted. RESULTS: Serum FSTL-1 levels were significantly higher in FMF patients than in HCs (p=0.005). However, there was no significant difference in FSTL-1 levels between patients in the attack period (n=26) and in the attack-free period (n=30). FSTL-3 levels were similar between FMF patients and HCs or patients in the attack period and in the attack-free period. Furthermore, the MEFV mutation type and attack status had no significant effect on FSTL-1 and FSTL-3 levels (p>0.05). CONCLUSION: Our results suggest that FSTL-1 may be associated with the pathogenesis of FMF, rather than FSTL-3. However, neither serum FSTL-1 nor FSTL-3 seems to be good markers to reflect inflammatory activity.
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    Spectral approximation for a nonlinear partial differential equation arising in thin film flow of a non-Newtonian fluid
    (ELSEVIER SCIENCE BV, 2012) Akyildiz, F. Talay; Siginer, Dennis A.; Kaplan, Huseyin
    Start-up thin film flow of fluids of grade three over a vertical longitudinally oscillating solid wall in a porous medium is investigated. The governing non-linear partial differential equation representing the momentum balance is solved by the Fourier-Galerkin approximation. The effect of the porosity, material constants as well as oscillations on the drainage rate and flow enhancement is explored and clarified. (C) 2011 Elsevier B.V. All rights reserved.
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    Strongly lacunary delta ward continuity
    (AMER INST PHYSICS, 2015) Cakalli, Huseyin; Kaplan, Huseyin; Ashyralyev, A; Malkowsky, E; Lukashov, A; Basar, F
    In this paper, the concepts of a lacunary statistically delta-quasi-Cauchy sequence and a strongly lacunary delta-quasiCauchy sequence are introduced, and investigated. In this investigation, we proved interesting theorems related to some newly defined continuities here, mainly, lacunary statistically delta-ward continuity, and strongly lacunary delta-ward continuity. A real valued function f defined on a subset A of R, the set of real numbers, is called lacunary statistically delta ward continuous on A if it preserves lacunary statistically delta quasi-Cauchy sequences of points in A, i.e. (f (alpha(k))) is a lacunary statistically quasi-Cauchy sequence whenever (alpha(k)) is a lacunary statistically quasi-Cauchy sequences of points in A, and a real valued function f defined on a subset A of R is called strongly lacunary delta ward continuous on A if it preserves strongly lacunary delta quasi-Cauchy sequences of points in A, i.e. (f (alpha(k))) is a strongly lacunary quasi-Cauchy sequence whenever (alpha(k)) is a strongly lacunary quasi-Cauchy sequences of points in A. It turns out that the uniform limit process preserves such continuities.
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    Variations on strong lacunary quasi-Cauchy sequences
    (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016) Kaplan, Huseyin; Cakalli, Huseyin
    We introduce a new function space, namely the space of N-theta(alpha)(p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions. A real valued function f defined on a subset A of R, the set of real numbers, is N-theta(alpha)(p)-ward continuous if it preserves N-theta(alpha)(p)-quasi-Cauchy sequences, that is, (f(x(n))) is an N-theta(alpha)(p)-quasi-Cauchy sequence whenever (x(n)) is N-theta(alpha)(p)-quasi-Cauchy sequence of points in A, where a sequence (x(k)) of points in R is called N-theta(alpha)(p)-quasi-Cauchy if lim(r ->infinity) 1/h(r)(alpha) Sigma(k is an element of lr) vertical bar Delta x(k)vertical bar(p) = 0, where Delta x(k) = x(k+1) - x(k) for each positive integer k, p is a constant positive integer, alpha is a constant in ]0,1], I-r = (k(r-1), k(r)] and theta = (k(r)) is a lacunary sequence, that is, an increasing sequence of positive integers such that k(0) not equal 0, and h(r) : k(r) - k(r-1) -> infinity. Some other function spaces are also investigated. (C) 2016 All rights reserved.
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    Variations on strongly lacunary quasi Cauchy sequences
    (AMER INST PHYSICS, 2016) Kaplan, Huseyin; Cakalli, Huseyin; Ashyralyev, A; Lukashov, A
    We introduce a new function space, namely the space of N-theta(p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. N-theta(alpha)(p)-ward continuity is also introduced and investigated for any fixed 0 < a <= 1, and for any fixed positive integer p. A real valued function f defined on a subset A of R, the set of real numbers is N-theta(alpha)(p)-ward continuous if it preserves N-theta(alpha)(p)-quasi-Cauchy sequences, i.e. (f(x(n))) is an N-theta(alpha)(p)-quasi--Cauchy sequence whenever (x(n)) is N-theta(alpha)(p)-quasi-Cauchy sequence of points in A, where a sequence (x(k)) of points in R is called N-theta(alpha)(p)-quasi-Cauchy if [GRAPHICS] 1/h(r)(alpha) [GRAPHICS] vertical bar Delta x(k)vertical bar(p) - 0, where Delta x(k) = x(k+1) - x(k) for each positive integer k, p is a fixed positive integer, alpha is fixed in ]0, 1], I-r = (k(r-1), k(r)], and theta = (k(r)) is a lacunary sequence, i.e. an increasing sequence of positive integers such that k(0) not equal 0, and h(r) : k(r) - k(r-1) -> infinity.
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    Variations on the Strongly Lacunary Quasi Cauchy Sequences
    (Univ Nis, Fac Sci Math, 2019) Kaplan, Huseyin
    In this paper, we introduce concepts of a strongly lacunary p-quasi-Cauchy sequence and strongly lacunary p-ward continuity. We prove that a subset of R is bounded if and only if it is strongly lacunary p-ward compact. It is obtained that any strongly lacunary p-ward continuous function on a subset A of R is continuous in the ordinary sense. We also prove that the uniform limit of strongly lacunary p-ward continuous functions on a subset A of R is strongly lacunary p-ward continuous.