On sequence spaces defined by the domain of a regular tribonacci matrix
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Taja Yaying
Abstract
In this article we introduce Tribonacci sequence spaces ℓp(T) (1 ≤ p ≤ ∞) derived by the domain of a newly defined regular Tribonacci matrix. We give some topological properties, inclusion relation, obtain the Schauder basis and determine the α-, β- and γ-duals of the new spaces. We characterize the matrix classes on ℓp(T). Finally, we give some geometric properties of the space ℓp(T).
Communicated by Gregor Dolinar
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© 2020 Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- Regular papers
- Recurrences for the genus polynomials of linear sequences of graphs
- The existence of states on EQ-algebras
- On sidon sequences of farey sequences, square roots and reciprocals
- Repdigits as sums of three balancing numbers
- Lipschitz one sets modulo sets of measure zero
- Refinement of fejér inequality for convex and co-ordinated convex functions
- An extension of q-starlike and q-convex error functions endowed with the trigonometric polynomials
- Coefficients problems for families of holomorphic functions related to hyperbola
- Triebel-Lizorkin capacity and hausdorff measure in metric spaces
- The method of upper and lower solutions for integral boundary value problem of semilinear fractional differential equations with non-instantaneous impulses
- On a system of three difference equations of higher order solved in terms of Lucas and Fibonacci numbers
- Density of summable subsequences of a sequence and its applications
- Rough weighted 𝓘-limit points and weighted 𝓘-cluster points in θ-metric space
- A note on cosine series with coefficients of generalized bounded variation
- Some geometric properties of the non-Newtonian sequence spaces lp(N)
- On sequence spaces defined by the domain of a regular tribonacci matrix
- Jointly separating maps between vector-valued function spaces
- Some fixed point theorems for multi-valued mappings in graphical metric spaces
- Monotone transformations on the cone of all positive semidefinite real matrices
- Locally defined operators in the space of Ck,ω-functions
- Some properties of D-weak operator topology
- Estimating the distribution of a stochastic sum of IID random variables
- An internal characterization of complete regularity
