TY  - JOUR
T1  - On the Interval Valued Cesaro Convergent Sequences Space
TT  - Aralık Değerli Cesaro Yakınsak Diziler Uzayı Üzerine
AU  - Kılınç, Gülsen
AU  - Yıldırım, Mehmet Sezai
PY  - 2023
DA  - December
Y2  - 2023
DO  - 10.37094/adyujsci.1296930
JF  - Adıyaman University Journal of Science
JO  - ADYU J SCI
PB  - Adıyaman University
WT  - DergiPark
SN  - 2147-1630
SP  - 1
EP  - 17
VL  - 13
IS  - 1&2
LA  - en
AB  - The concept of quasilinear space is a field that needs to be matured, the foundations of which were laid by S. M. Aseev's published work in 1986. The simplest nonlinear quasi linear space example is the set 𝑃 which is a class of closed intervals of real numbers. In this study, it was given an interval-valued sequence space using the Cesàro limitation method's matrix domain. Also, its quasilinear space structure, some topological characteristics, and some inclusion relations were examined.
KW  - Quasilinear Space
KW  - Interval Valued Sequence
KW  - Hausdorff Metric
KW  - Cesàro Convergence.
N2  - Quasilineer uzay kavramı, temelleri S. M. Aseev'in 1986 yılında yayınlanan çalışmasıyla atılan, olgunlaşması gereken bir alandır. Lineer olmayan Quasilineer uzayın en basit örneği, gerçek sayıların kapalı aralıklar sınıfı olan 𝑃 kümesidir. Bu çalışmada Cesàro limitleme yönteminin matris etki alanı kullanılarak aralık değerli bir dizi uzayı verildi. Ayrıca bu uzayın quasilineer uzay yapısı, bazı topolojik özellikleri ve bazı kapsama ilişkileri incelendi.
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UR  - https://doi.org/10.37094/adyujsci.1296930
L1  - https://dergipark.org.tr/en/download/article-file/3141923
ER  -