On Generalized p, q-Euler Matrix and Associated Sequence Spaces. (21st June 2021)

• Record Type: Journal Article
• Authors: Yaying, Taja; Hazarika, Bipan; Mursaleen, Mohammad
• Other Names: Sugimoto Mitsuru Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-06-21
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8899960
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this study, we introduce new BK -spaces b s r, t p, q and b ∞ r, t p, q derived by the domain of p, q -analogue B r, t p, q of the binomial matrix in the spaces ℓ s and ℓ ∞, respectively. We study certain topological properties and inclusion relations of these spaces. We obtain a basis for the space b s r, t p, q and obtain Köthe-Toeplitz duals of the spaces b s r, t p, q and b ∞ r, t p, q . We characterize certain classes of matrix mappings from the spaces b s r, t p, q and b ∞ r, t p, q to space μ ∈ ℓ ∞, c, c 0, ℓ 1, b s, c s, c s 0 . Finally, we investigate certain geometric properties of the space b s r, t p, q .