Aralık Değerli Cesaro Yakınsak Diziler Uzayı Üzerine

Yıl 2023, Cilt: 13 Sayı: 1&2, 1 - 17, 31.12.2023

Gülsen Kılınç Mehmet Sezai Yıldırım

https://doi.org/10.37094/adyujsci.1296930

Öz

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.

Anahtar Kelimeler

Quasilineer Uzay, Aralık Değerli Dizi, Hausdorff Metrik, Cesàro yakınsaklık

On the Interval Valued Cesaro Convergent Sequences Space

Öz

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.

Anahtar Kelimeler

Quasilinear Space, Interval Valued Sequence, Hausdorff Metric, Cesàro Convergence.

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