Paranormed Norlund Nᵗ- difference sequence spaces and their α-, β- and γ-duals
, 2023 Kizmaz [4] defined some difference spaces viz., ℓ∞ (∆), c(∆) and c0(∆) and studied by Et and Colak [1] thoroughly. In this paper, Norlund Nt- difference sequence spaces Nt(c0, p, ∆), Nt(c, p, ∆) and Nt(ℓ∞, p, ∆) contain the sequences whose Nt∆-transforms
Singh, Sukhdev, Malik, Toseef Ahmed
core +1 more source
Fractional ordered Euler Riesz difference sequence spaces
, 2023 In this article we introduce new sequence spaces c0 (τ), c(τ) and l∞(τ) of fractional order τ , consisting of an operator which is a composition of Euler-Riesz operator and fractional difference operator.
Jena, Diptimayee, Dutta, Salila
core +1 more source
On some new paranormed sequence spaces defined by the matrix D (r, 0, 0, s)
, 2021 In this paper, we introduce some new paranormed sequence spaces and study some topological properties. Further, we determine α, β and γ-duals of the new sequence spaces and finally, we establish the necessary and sufficient conditions for ...
Paul, Avinoy, Dr.Avinoy Paul
core +1 more source
On some new sequence spaces of non-absolute type and matrix transformations [PDF]
, 2013 In the present paper, we introduce the spaces c0Δuλ and cΔuλ, which are BK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c0 and c, respectively.
Sheikh, Neyaz Ahmad, Ganie, Ab Hamid
core +1 more source
On some λ difference sequence spaces of fractional order [PDF]
, 2017 In the present paper, the difference sequence spaces cs0λ(Δ),csλ(Δ) and bsλ(Δ) of nonabsolute type are generalized by introducing a generalized Λ difference operator Λ(Δ(α˜)).
Furkan, Hasan
core +1 more source
A note on paranormed difference sequence spaces of fractional order and their matrix transformations [PDF]
, 2014 In the present paper, new classes of difference sequence spaces X(Γ, Δα, u, p) for X∈{ℓ∞, c, c0} are introduced by using the fractional difference operator Δα, defined by Δα(xk)=∑i=0∞(-1)iΓ(α+1)i!Γ(α-i+1)xk+i, where (un) is a sequence satisfying certain ...
Dutta, S., Baliarsingh, P.
core +1 more source
Mappings Ideal of Type the Domain of Generalized p,q-Euler Matrix in c0 and c
Journal of Mathematics, 2023 We develop new Banach sequence spaces e0a,bp,q and eca,bp,q derived by the domain of generalized p,q-Euler matrix Ea,bp,q in the spaces of null and convergent sequences, respectively.
Taja Yaying +4 more
doaj +1 more source
On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
doaj +1 more source
On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal
Journal of Function Spaces, 2022 In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v,k=0,1,2,⋯, where l=lk is a sequence of Leonardo numbers.
Taja Yaying +3 more
doaj +1 more source
Difference sequence spaces derived by using a generalized weighted mean [PDF]
, 2011 In this work, we define new sequence spaces by combining a generalized weighted mean and a difference operator. Afterward, we investigate topological structures, which have completeness, AK-property, and AD-property.
Şi̇mşek, Necip +5 more
core +1 more source