Yazar "Sengul, Hacer" seçeneğine göre listele

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    N-alpha(beta)(theta, I)- Ward Continuity
    (AMER INST PHYSICS, 2019) Sengul, Hacer; Cakalli, Huseyin; Et, Mikail; Cakalli, H; Kocinac, LDR; Harte, R; Cao, J; Savas, E; Ersan, S; Yildiz, S
    The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is also investigated. Interesting results are obtained.
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    On (f, I)-Lacunary Statistical Convergence of Order alpha of Sequences of Sets
    (SOC PARANAENSE MATEMATICA, 2020) Sengul, Hacer; Et, Mikail; Cakalli, Huseyin
    In this paper we introduce the concepts of Wijsman (f, I)-lacunary statistical convergence of order alpha and Wijsman strongly (f, I)-lacunary statistical convergence of order alpha, and investigated between their relationship.
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    A variation on lacunary quasi Cauchy sequences
    (AMER INST PHYSICS, 2016) Cakalli, Huseyin; Et, Mikail; Sengul, Hacer; Ashyralyev, A; Lukashov, A
    In the present paper, we introduce a concept of ideal lacunary statistical quasi-Cauchy sequence of order alpha of real numbers in the sense that a sequence (x(k)) of points in R is called I lacunary statistically quasi-Cauchy of order alpha, if {r is an element of N : 1/h(r)(a) vertical bar Delta x(k)vertical bar >= epsilon vertical bar >= epsilon vertical bar >= delta}is an element of I for each epsilon > 0 and for each delta > 0, where an ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. The main purpose of this paper is to investigate ideal lacunary statistical ward continuity of order alpha, where a function f is called I lacunary statistically ward continuous of order alpha if it preserves I-lacunary statistically quasi-Cauchy sequences of order alpha, i.e. (f(x(n))) is a s(theta)(alpha)(I)-quasi-Cauchy sequence whenever (x(n)) is.
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    A variation on N-theta ward continuity
    (WALTER DE GRUYTER GMBH, 2020) Çakallı, Hüseyin; Et, Mikail; Sengul, Hacer
    The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of sequences of real numbers. Strongly ideal lacunary ward continuity is also investigated. Interesting results are obtained.
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    A Variation on Strongly Ideal Lacunary Ward Continuity
    (SOC PARANAENSE MATEMATICA, 2020) Sengul, Hacer; Cakalli, Huseyin; Et, Mikail
    The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is also investigated. Interesting results are obtained.