On the New Double Binomial Sequence Space

Serkan DEMİRİZ; Sezer ERDEM

doi:https://doi.org/10.47000/tjmcs.727448

Makale detayları

On the New Double Binomial Sequence Space

Yazarlar:

Serkan DEMİRİZ | Sezer ERDEM

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2020 Vol.12 Issue 2, pp.101-111

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000638453

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.727448

Özet:

 

The aim of this paper is to present the new double Binomial sequence space \mathcal{B}_{p}^{r,s}\mathcal{B}_{p}^{r,s} which consists of all sequences whose double Binomial transforms of orders r,sr,s (rr and ss are nonzero real numbers with r+s \neq 0r+s \neq 0) are in the space \mathcal{L}_p\mathcal{L}_p, where 0<p<\infty0<p<\infty. We examine its topological and algebraic properties and inclusion relations. Furthermore, the \alpha-\alpha-, \beta(bp)-\beta(bp)- and \gamma-\gamma-duals of the space \mathcal{B}_{p}^{r,s}\mathcal{B}_{p}^{r,s} are determined and finally, some 4-dimensional matrix mapping classes related to this space are  characterized.

Makale detayları

On the New Double Binomial Sequence Space

Yazarlar: Serkan DEMİRİZ | Sezer ERDEM

Yayıncı: Matematikçiler Derneği

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics and Computer Science 2020 Vol.12 Issue 2, pp.101-111

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000638453

Sıklık: İki Yıllık

eISSN: 2148-1830

DOI: https://doi.org/10.47000/tjmcs.727448

Sayı

Yazarlar:

Serkan DEMİRİZ | Sezer ERDEM

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2020 Vol.12 Issue 2, pp.101-111

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000638453

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.727448