On generalized \((p,q)\)-Euler matrix and associated sequence spaces
type: Item
instance of: scholarly article
title: On generalized \((p,q)\)-Euler matrix and associated sequence spaces
zbMATH Open document ID: 1482.46005
DOI: 10.1155/2021/8899960
author: Taja Yaying
author: Bipan Hazarika
author: M. Mursaleen
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: In this study, we introduce new \(\mathrm{BK} \)-spaces \(b_{s}^{r,t}(p,q)\) and \(b_{\infty}^{r,t}(p,q)\) derived by the domain of \((p,q)\)-analogue \(B^{r,t}(p,q)\) of the binomial matrix in the spaces \(\ell_{s}\) and \(\ell_{\infty}\), 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 \(b_{\infty}^{r,t}(p,q)\). We characterize certain classes of matrix mappings from the spaces \(b_{s}^{r,t}(p,q)\) and \(b_{\infty}^{r,t}(p,q)\) to space \(\mu\in\{\ell_{\infty}, c, c_{0}, \ell_{1}, bs, cs, cs_{0}\}\). Finally, we investigate certain geometric properties of the space \(b_{s}^{r,t}(p,q)\).
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 7385299
zbMATH Keywords: BK-spaces
zbMATH Keywords: binomial matrix
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8899960
OpenAlex ID: W3174650107
cites work: A (p, q)-oscillator realization of two-parameter quantum algebras
cites work: A certain \((p,q)\)-derivative operator and associated divided differences
cites work: P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
cites work: Q3628987
cites work: On \((p, q)\)-analogue of Bernstein operators
cites work: On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
cites work: On two (p, q)-analogues of the Laplace transform
cites work: Quantum calculus
cites work: On Some Euler Sequence Spaces of Nonabsolute Type
cites work: On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
cites work: Q4627523
cites work: Some new sequence spaces derived by the domain of generalized difference matrix
cites work: On the Euler sequence spaces which include the spaces \(\ell _{p}\) and \(\ell _{\infty}\). II
cites work: Q4195411
cites work: Summability Theory And Its Applications
cites work: Sequence Spaces
cites work: Q3312652
cites work: Almost convergence and Euler totient matrix
cites work: A New Banach Space Defined By Euler Totient Matrix Operator
cites work: A new regular infinite matrix defined by Jordan totient function and its matrix domain in ℓp
cites work: Matrix domain of a regular matrix derived by Euler totient function in the spaces \(c_0\) and \(c\)
cites work: Factorization of the Hilbert matrix based on Cesàro and gamma matrices
cites work: A study on Copson operator and its associated sequence space
cites work: On multipliers of matrix domains
cites work: On sequence spaces defined by the domain of a regular tribonacci matrix
cites work: On sequence spaces generated by binomial difference operator of fractional order
cites work: On sequence space derived by the domain of \(q\)-Cesàro matrix in \(\ell_p\) space and the associated operator ideal
cites work: On some new Euler difference sequence spaces
cites work: Some Euler spaces of difference sequences of order \(m\)
cites work: On certain Euler difference sequence spaces of fractional order and related dual properties
cites work: Some topological and geometric properties of generalized Euler sequence space
cites work: Q2995568
cites work: Some paranormed Euler sequence spaces of difference sequences of order m
cites work: On some new paranormed Euler sequence spaces and Euler core
cites work: On the spaces of Euler almost null and Euler almost convergent sequences
cites work: On compact operators and some Euler \(B^{(m)}\)-difference sequence spaces
cites work: The matrix domain and the spectra of a generalized difference operator
cites work: The binomial sequence spaces of nonabsolute type
cites work: The binomial sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\) and geometric properties
cites work: On some binomial \(B^{(m)}\)-difference sequence spaces
cites work: Binomial difference sequence spaces of fractional order
cites work: \(q\)-Cesàro matrix and \(q\)-statistical convergence
cites work: \(q\)-Cesàro sequence spaces derived by \(q\)-analogue
cites work: Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
cites work: Q4455973
cites work: Cesàro spaces and norm of operators on these matrix domains
cites work: A new conservative matrix derived by Catalan numbers and its matrix domain in the spacescandc0
cites work: Banach-Saks properties and spreading models.
cites work: Orlicz sequence spaces of Banach-Saks type
cites work: Matrix transformations and compact operators on Catalan sequence spaces
cites work: On the \(m^{th}\) order difference sequence space of generalized weighted mean and compact operators
Recommended article: Q4847777
Recommended article: Q4704375
Recommended article: Q3391071
Recommended article: Q3704472
Recommended article: Q4852572
Recommended article: Sequence spaces defined via Euler method and matrix transformations
Recommended article: Q5186164
Recommended article: Q3970225
Recommended article: On the sequence space \(l (p, s)\) and some matrix transformations
Recommended article: Quasi-Cesàro matrix and associated sequence spaces