On the Interval Valued Cesaro Convergent Sequences Space

Gülsen Kılınç; Mehmet Sezai Yıldırım

Article Details

On the Interval Valued Cesaro Convergent Sequences Space

Authors:

Gülsen Kılınç | Mehmet Sezai Yıldırım

Publisher:

Adıyaman University

Main Topics:

Matematik

Journal:

Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.1-17

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001306484

pISSN:

2147-1630

Keywords:

Abstract:

 The concept of quasilinear space is a field that needs to be matured, the foundations of which were laid by S. M. Aseevs published work in 1986. The simplest nonlinear quasi linear space example is the set  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 methods matrix domain. Also, its quasilinear space structure, some topological characteristics, and some inclusion relations were examined.

 The concept of quasilinear space is a field that needs to be matured, the foundations of which were laid by S. M. Aseevs published work in 1986. The simplest nonlinear quasi linear space example is the set  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 methods matrix domain. Also, its quasilinear space structure, some topological characteristics, and some inclusion relations were examined.

 The concept of quasilinear space is a field that needs to be matured, the foundations of which were laid by S. M. Aseevs published work in 1986. The simplest nonlinear quasi linear space example is the set  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 methods matrix domain. Also, its quasilinear space structure, some topological characteristics, and some inclusion relations were examined.

 Quasilineer uzay kavramı, temelleri S. M. Aseevin 1986 yılında yayınlanan çalışmasıyla atılan, olgunlaşması gereken bir alandır. Lineer olmayan Quasilineer uzayın en basit örneği, gerçek sayıların kapalı aralıklar sınıfı olan  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.

Article Details

On the Interval Valued Cesaro Convergent Sequences Space

Authors:

Gülsen Kılınç | Mehmet Sezai Yıldırım

Publisher:

Adıyaman University

Main Topics:

Matematik

Journal:

Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.1-17

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001306484

pISSN:

2147-1630

Quasilinear Space

Interval Valued Sequence

Hausdorff Metric

Cesàro Convergence.Quasilineer Uzay

Aralık Değerli Dizi

Hausdorff Metrik

Cesàro yakınsaklık

Issues

Article Details

Authors: Gülsen Kılınç | Mehmet Sezai Yıldırım

Publisher: Adıyaman University

Main Topics: Matematik

Journal: Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.1-17

Document Type: Article

Publication Date: 12/2023

Document Language: English

Document ID (Org No.): 2001306484

pISSN: 2147-1630

Issues

Authors:

Gülsen Kılınç | Mehmet Sezai Yıldırım

Publisher:

Adıyaman University

Main Topics:

Matematik

Journal:

Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.1-17

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001306484

pISSN:

2147-1630