New Sequence Spaces and Function Spaces on Interval [0, 1]. (24th September 2013)

• Record Type: Journal Article
• Authors: Xu, Cheng-Zhong; Xu, Gen-Qi
• Other Names: Gao Ji Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-09-24
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/601490
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We study the sequence spaces and the spaces of functions defined on interval 0, 1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓ p and ℓ q and function spaces that are interpolating into the spaces between the polynomial space P 0, 1 and C ∞ 0, 1 . We prove that these spaces of sequences and functions are Banach spaces.