On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field. (30th September 2015)

• Record Type: Journal Article
• Authors: Kadak, Uğur; Kirişci, Murat; Çakmak, Ahmet Faruk
• Other Names: Connor Jeff Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-09-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/416906
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction. Sometimes the associated multiplier sequence delays the rate of convergence of a sequence. In the present paper, the classical paranormed sequence spaces have been introduced and proved that the spaces are⋆ -complete. By using the notion of multiplier sequence, the α -, β -, and γ -duals of certain paranormed spaces have been computed and their basis has been constructed.