On the Paranormed Nörlund Sequence Space of Nonabsolute Type
Joint Authors
Başar, Feyzi
Yeşilkayagil, Medine
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Maddox defined the space ℓ ( p ) of the sequences x = ( x k ) such that ∑ k = 0 ∞ | x k | p k < ∞ , in Maddox, 1967.
In the present paper, the Nörlund sequence space N t ( p ) of nonabsolute type is introduced and proved that the spaces N t ( p ) and ℓ ( p ) are linearly isomorphic.
Besides this, the alpha-, beta-, and gamma-duals of the space N t ( p ) are computed and the basis of the space N t ( p ) is constructed.
The classes ( N t ( p ) : μ ) and ( μ : N t ( p ) ) of infinite matrices are characterized.
Finally, some geometric properties of the space N t ( p ) are investigated.
American Psychological Association (APA)
Yeşilkayagil, Medine& Başar, Feyzi. 2014. On the Paranormed Nörlund Sequence Space of Nonabsolute Type. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014930
Modern Language Association (MLA)
Yeşilkayagil, Medine& Başar, Feyzi. On the Paranormed Nörlund Sequence Space of Nonabsolute Type. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014930
American Medical Association (AMA)
Yeşilkayagil, Medine& Başar, Feyzi. On the Paranormed Nörlund Sequence Space of Nonabsolute Type. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014930
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014930