Browsing by Author "Et, Mikail"
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Deferred statistical convergence and strongly deferred summable functions
Et, Mikail; Baliarsingh, P.; Şengül, Hacer (Maltepe Üniversitesi, 2019)The main purpose of this paper is to introduce and investigate the concepts of deferred strong summability and deferred statistical convergence of realvalued functions which are measurable (in the Lebesgue sense) in the ... 
Deferred statistical convergence of order α in topological groups
Şengül, Hacer; Et, Mikail; Çakallı, Hüseyin (Maltepe Üniversitesi, 2019)In this paper, the concept of deferred statistical convergence of order α is generalized to topological groups, and some inclusion relations between the set of all statistically convergent sequences of order α in ... 
Lacunary a− statistical convergence and lacunary strong a− convergence of order (α, β) with respect to a modulus
Şengül, Hacer; Et, Mikail; Çakallı, Hüseyin (Maltepe Üniversitesi, 2019)In this paper, the definitions of lacunary strong A−convergence of order (α, β) with respect to a modulus and lacunary A−statistical convergence of order (α, β) are given. We study some connections between lacunary strong ... 
Lacunary dstatistical convergence and lacunary dstatistical boundedness in metric spaces
Şengül, Hacer; Et, Mikail (Maltepe Üniversitesi, 2019)In this study, using a lacunary sequence we introduce the concepts of lacunary d−statistically convergent sequences and lacunary d−statistically bounded sequences in general metric spaces. 
Lacunary statistical convergence of difference sequences of fractional order
Aral, Nazım Deniz; Et, Mikail (Maltepe Üniversitesi, 2019)The idea of statistical convergence was given by Zygmund [1] in the first edition of his monograph published in Warsaw in 1935. Over the years and under different names statistical convergence was discussed in the theory of ... 
N β α(θ, I)− ward continuity
Şengül, Hacer; Çakallı, Hüseyin; Et, Mikail (Maltepe Üniversitesi, 2019)The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasiCauchyness of order (α, β) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (α, β) is also investigated. ... 
Nalpha(beta)(theta, I) Ward Continuity
Sengul, Hacer; Cakalli, Huseyin; Et, Mikail (AMER INST PHYSICS, 2019)The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasiCauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is ... 
On (f, I)Lacunary Statistical Convergence of Order alpha of Sequences of Sets
Sengul, Hacer; Et, Mikail; Cakalli, Huseyin (SOC PARANAENSE MATEMATICA, 2020)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. 
On I−deferred statistical convergence
Şengül, Hacer; Et, Mikail; Işık, Mahmut (Maltepe Üniversitesi, 2019)The idea of I−convergence of real sequences was introduced by Kostyrko et al. [ Kostyrko, P., Sal´at, T. and Wilczy ´nski, ˇ W. I−convergence, Real Anal. Exchange 26(2) (2000/2001), 669686 ] and also independently by ... 
On lacunary dstatistical convergence of order α
Et, Mikail; Karataş, Muharrem (Maltepe Üniversitesi, 2019)The idea of statistical convergence was given by Zygmund [1] in the first edition of his monograph puplished in Warsaw in 1935. The consept of statistical convergence was introduced by Steinhaus [2] and Fast [3] and later ... 
On lacunary statistical convergence of order β of difference sequences of fractional order
Aral, Nazlım Deniz; Et, Mikail (Maltepe Üniversitesi, 2019)The purpose of this paper is to introduce the concepts of ∆ α−lacunary statistical convergence of order β (0 < β ≤ 1) with the fractional order of α and ∆ α−lacunary strongly convergence of order β with the fractional ... 
On pointwise deferred statistical convergence of sequences of fuzzy mappings
Şengül, Hacer; Et, Mikail (Maltepe Üniversitesi, 2019)In this study, we introduce the concepts of pointwise deferred statistical convergence and strongly deferred Cesaro ` pointwise summable sequences of fuzzy mappings. Some relations between pointwise deferred statistical ... 
On strong Nβp(ρ)convergence and Sβ (ρ) −convergence
Şengül Kandemir, Hacer; Et, Mikail (Maltepe Üniversitesi, 2021)In this paper, we introduce the concept of strong ρ−convergence of order β ( or Nβ p (ρ) −convergence ) of sequence of real numbers and give some inclusion relations between the set of all ρ−statistical convergence of ... 
On Wijsman (f, I) Lacunary Statistical Convergence of Order alpha
Sengul, Hacer; Et, Mikail; Cakalli, Useyin (AMER INST PHYSICS, 2019)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. 
On wijsman (f, I) − lacunary statistical convergence of order α
Şengül, Hacer; Et, Mikail; Çakallı, Hüseyin (Maltepe Üniversitesi, 2019)In this paper we introduce the concepts of Wijsman (f, I) −lacunary statistical convergence of order α and Wijsman strongly (f, I) −lacunary statistical convergence of order α, and investigated between their relationship. 
On ρ− statistical convergence
Aral, Nazlım Deniz; Şengül Kandemir, Hacer; Et, Mikail (Maltepe Üniversitesi, 2021)In this study, by using definition of ρstatistical convergence which was defined by C¸ akallı[2], we give some inclusion relations between the set of ρstatistical convergence and strong (S, [ρ]) summability. 
A variation on lacunary quasi Cauchy sequences
Cakalli, Huseyin; Et, Mikail; Sengul, Hacer (AMER INST PHYSICS, 2016)In the present paper, we introduce a concept of ideal lacunary statistical quasiCauchy sequence of order alpha of real numbers in the sense that a sequence (x(k)) of points in R is called I lacunary statistically quasiCauchy ... 
A variation on Ntheta ward continuity
Çakallı, Hüseyin; Et, Mikail; Sengul, Hacer (WALTER DE GRUYTER GMBH, 2020)The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasiCauchyness of sequences of real numbers. Strongly ideal lacunary ward continuity is also investigated. Interesting results are obtained. 
A Variation on Strongly Ideal Lacunary Ward Continuity
Sengul, Hacer; Cakalli, Huseyin; Et, Mikail (SOC PARANAENSE MATEMATICA, 2020)The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasiCauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is ... 
Wijsman deferred statistical convergence and Wijsman strong deferred Cesàro convergence of order a of sequences of sets
Yilmazer, M. Cagri; Et, Mikail; Şengül Kandemir, Hacer (Maltepe Üniversitesi, 2021)The main purpose of this paper is to introduce the concepts of Wijsman deferred statistical convergence of order α and Wijsman strong deferred Cesaro convergence of order ` α for sequences of sets.