Yurdal Sever
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View article: On the Core of Double Sequences
On the Core of Double Sequences Open
In this paper, we define the core of double sequences via barriers and disks. We show that these definitions are equivalent and give an inequality related to the P-core of bounded double sequences. 2010 Mathematics Subject Classification. …
View article: Ideal $e\mbox{-}$Convergence of Double Sequences and A Korovkin-type Approximation Theorem
Ideal $e\mbox{-}$Convergence of Double Sequences and A Korovkin-type Approximation Theorem Open
In the present paper, we introduce the concept of ideal $e$-convergence of double sequences and prove some fundamental properties. Next, we define the concepts of ideal $e$-limit superior and inferior for double sequences. After that, some…
View article: Γ-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS, AND MINIMIZERS
Γ-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS, AND MINIMIZERS Open
In the present paper, we introduce the concept of Γ-convergence of a double sequence of functions defined from a metric space into real numbers. This convergence is useful as it is a convenient concept of convergence for approximating mini…
View article: IDEAL CONVERGENCE OF DOUBLE SEQUENCES OF CLOSED SETS
IDEAL CONVERGENCE OF DOUBLE SEQUENCES OF CLOSED SETS Open
In the present paper, we introduce the concepts of ideal inner and ideal outer limits which always exist even if empty sets for double sequences of closed sets in Pringsheim's sense. Next, we give some formulas for finding ideal inner and …
View article: Çift diziler için αβ-istatistiksel E-yakınsaklık
Çift diziler için αβ-istatistiksel E-yakınsaklık Open
Bu makalede, tam sayı ikilileri için verilen yoğunluk kavramının birgenelleştirilmesi olan αβ doğal yoğunluk kavramınıtanımladık. Bu yoğunluk kavramı yardımıyla çift diziler için αβ-istatistiksel E-yakınsaklık kavramı tanıtıldı. Daha sonra…
View article: On Kuratowski I-convergence of sequences of closed sets
On Kuratowski I-convergence of sequences of closed sets Open
In this paper we extend the concepts of statistical inner and outer limits (as introduced by Talo, Sever and Ba?ar) to I-inner and I-outer limits and give some I-analogue of properties of statistical inner and outer limits for sequences of…
View article: On statistically convergent sequences of closed sets
On statistically convergent sequences of closed sets Open
In this paper, we give the definitions of statistical inner and outer limits for sequences of closed sets in metric spaces. We investigate some properties of statistical inner and outer limits. For sequences of closed sets if its statistic…
View article: On statistical convergence of double sequences of closed sets
On statistical convergence of double sequences of closed sets Open
In this paper, we introduce the concepts of statistical inner and statistical outer limits for double sequences of closed sets and give some formulas for finding these limits. Also, we give the Kuratowski statistical convergence of double …