Browsing Eğitim Fakültesi by Author "Şengül, Hacer"

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f−Lacunary Statistical Convergence and Strong f− Lacunary Summability of Order α

Şengül, Hacer; Et, Mikail (Filomat, 2018)

The main object of this article is to introduce the concepts of f−lacunary statistical convergence of order α and strong f−lacunary summability of order α of sequences of real numbers and give some inclusion relations ...
ON (∆m, I) − LACUNARY STATISTICAL CONVERGENCE OF ORDER α

Et, Mikail; Şengül, Hacer (Journal of Mathematical Analysis, 2016)

In this study, using the generalized difference operator ∆m, we introduce the concepts of (∆m, I) −lacunary statistical convergence of order α and lacunary strong ∆mp −summa
On I− Lacunary Statistical Convergence of Order α of Sequences of Sets

Şengül, Hacer; Et, Mikail (Filomat, 2017)

The idea ofI−convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P. ; Sal´at, ˇ T. and Wilczy ´nski, W. I−convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686 ] and also independently by ...
On Pointwise Lacunary Statistical Convergence of Order a of Sequences of Function

Et, Mikail; Şengül, Hacer (The National Academy of Sciences (PNAS), 2015)

In this paper we introduce the concepts of pointwise lacunary statistical convergence of order a and pointwise wpðf ; hÞ—summability of order a of sequences of real valued functions. Also some relations between pointwise ...
ON WIJSMAN I− LACUNARY STATISTICAL EQUIVALENCE OF ORDER (η, µ)

Şengül, Hacer (Journal of Inequalities and Special Functions (JIASF), 2018)

The idea of asymptotically equivalent sequences and asymptotic regular matrices was introduced by Marouf [ Marouf, M. Asymptotic equivalence and summability, Int. J. Math. Sci. 16(4) 755-762 (1993) ] and Patterson [ ...
Some Cesaro-Type Summability Spaces of Order α and Lacunary Statistical Convergence of Order α

Et, Mikail; Şengül, Hacer (Filomat, 2014)

. In the paper [32], we have defined the concepts of lacunary statistical convergence of order α and strong Nθ p −summability of order α for sequences of complex (or real) numbers. In this paper we continue to ...
Some Geometric Properties of Generalized Difference Ces`aro Sequence Spaces

Şengül, Hacer; Et, Mikail (Thai Journal of Mathematics (Thai), 2017)

: In this paper, we define the generalized Ces`aro difference sequence space C(p)(∆m) and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that in the space C(p)(∆m) every weakly ...

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Browsing Eğitim Fakültesi by Author "Şengül, Hacer"

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