Negative Difference Operator and Its Associated Sequence Space. (21st May 2021)

• Record Type: Journal Article
• Authors: Roopaei, Hadi; Kara, Merve İlkhan
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 4(2021)
• Page Start: 480
• Page End: 496
• Publication Date: 2021-05-21
• Subjects: Cesàro matrix -- difference operator -- difference sequence space -- Hilbert matrix -- norm; 26D15 -- 40C05 -- 40G05 -- 47B37; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1895830
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Let Δ − n be the backward difference operator of order − n . In this paper, we study some properties of the matrix domain associated with this operator and after computing α -, β -, γ -duals, we characterize some matrix classes on this space. Moreover, we investigate the problem of finding the norm of well-known operators such as Cesàro and Hilbert from ℓ p ( Δ − n ) into ℓ p .