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Generalized Weighted Statistical Convergence of Double Sequences and Applications
(Univ Nis, Fac Sci Math, 2016) Cinar, Muhammed; Et, Mikail
In this paper we introduce the concept generalized weighted statistical convergence of double sequences. Some relations between weighted (lambda, mu)-statistical convergence and strong ((N) over bar (lambda mu), p,q,alpha,beta)-summablity of double sequences are examined. Furthemore, we apply our new summability method to prove a Korovkin type theorem.
?m-Deferred Statistical Convergence of Order ?
(Univ Nis, Fac Sci Math, 2016) Temizsu, Fatih; Et, Mikail; Cinar, Muhammed
In this paper, we introduce the concepts of Delta(m)-deferred statistical convergence of order alpha and strong Delta(m)(r)-deferred Cesaro summability of order alpha of real sequences. Additionally, some inclusion relations about Delta(m)-deferred statistical convergence of order alpha and strong Delta(m)(r)-deferred Cesaro summability of order alpha are given.
On asymptotically lacunary statistical equivalent of order a of difference sequences
(Amer Inst Physics, 2015) Et, Mikail; Sengul, Hacer; Cinar, Muhammed
In this study, we introduce and examine the concepts of 4-asymptotically statistical equivalent of order a and strong Delta(m)(theta) asymptotically equivalent of order a of sequences. Also, we give some relations connected to these concepts.