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α-, β- and γ-duals of the sequence spaces formed by a regular matrix of Tetranacci numbers.
- Source :
-
Journal of Applied Analysis . Aug2024, p1. 13p. - Publication Year :
- 2024
-
Abstract
- The primary objective of this paper is to create a novel infinite Toeplitz matrix by leveraging Tetranacci numbers. This matrix serves as the foundation for defining new sequence spaces denoted as c 0 ( G ) {c_{0}(G)} , c ( G ) {c(G)} , ℓ ∞ ( G ) {\ell_{\infty}(G)} , and ℓ p ( G ) {\ell_{p}(G)} , where 1 ≤ p < ∞ {1\leq p<\infty} . By utilizing this newly constructed matrix, the paper also explores and examines various algebraic and topological properties inherent to the sequence spaces c 0 ( G ) {c_{0}(G)} , c ( G ) {c(G)} , ℓ ∞ ( G ) {\ell_{\infty}(G)} , and ℓ p ( G ) {\ell_{p}(G)} for values of <italic>p</italic> within the range of 1 ≤ p < ∞ {1\leq p<\infty} . At last, we also prove existence theorem with example for infinite systems of differential equations in ℓ p ( G ) {\ell_{p}(G)} . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14256908
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 178759628
- Full Text :
- https://doi.org/10.1515/jaa-2024-0046