Some Pascal Spaces of Difference Sequences Spaces of Order m

Saadettin AYDIN; Harun POLAT

Article Details

Some Pascal Spaces of Difference Sequences Spaces of Order m

Authors:

Saadettin AYDIN | Harun POLAT

Publisher:

Murat TOSUN

Main Topics:

Applied physics

Journal:

Conference Proceedings of Science and Technology 2019 Vol.2 Issue 1, pp.97-103

Document Type:

Article

Publication Date:

10/2019

Document Language:

English

Document ID (Org No.):

2000767609

Frequency:

Quarterly

pISSN:

2651-544X

Abstract:

 


The main purpose of this article is to introduce new sequence spaces p∞(Δ(m))p∞(Δ(m))p_{\infty }\left( \Delta ^{(m)}\right) , pc(Δ(m))pc(Δ(m))p_{c}\left( \Delta ^{(m)}\right)  and p0(Δ(m))p0(Δ(m))p_{0}\left( \Delta ^{(m)}\right)  which are consisted by sequences whose mthmthm^{th} order differences are in the Pascal sequence spaces p∞p∞p_{\infty }, pcpcp_{c} and p0p0p_{0}, respectively. Furthermore, the bases of the new difference sequence spaces pc(Δ(m))pc(Δ(m))p_{c}\left( \Delta ^{(m)}\right)  and p0(Δ(m)),p0(Δ(m)),p_{0}\left( \Delta ^{(m)}\right) , and the % \alpha -, ββ\beta -  \ and γγ\gamma -duals of the new difference sequence spaces p∞(Δ(m))p∞(Δ(m))p_{\infty }\left( \Delta ^{(m)}\right) , pc(Δ(m))pc(Δ(m))p_{c}\left( \Delta ^{(m)}\right)  and p0(Δ(m)) p0(Δ(m)) p_{0}\left( \Delta ^{(m)}\right) \ have been determined. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (pc(Δ(m)):l∞)(pc(Δ(m)):l∞)(p_{c}\left( \Delta ^{(m)}\right) :l_{\infty }) and (pc(Δ(m)):c)(pc(Δ(m)):c)(p_{c}\left( \Delta ^{(m)}\right) :c) are obtained.

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Article Details

Some Pascal Spaces of Difference Sequences Spaces of Order m

Authors: Saadettin AYDIN | Harun POLAT

Publisher: Murat TOSUN

Main Topics: Applied physics

Journal: Conference Proceedings of Science and Technology 2019 Vol.2 Issue 1, pp.97-103

Document Type: Article

Publication Date: 10/2019

Document Language: English

Document ID (Org No.): 2000767609

Frequency: Quarterly

pISSN: 2651-544X

Issues

Authors:

Saadettin AYDIN | Harun POLAT

Publisher:

Murat TOSUN

Main Topics:

Applied physics

Journal:

Conference Proceedings of Science and Technology 2019 Vol.2 Issue 1, pp.97-103

Document Type:

Article

Publication Date:

10/2019

Document Language:

English

Document ID (Org No.):

2000767609

Frequency:

Quarterly

pISSN:

2651-544X