Taja Yaying
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View article: On Motzkin sequence spaces via <i>q</i> -analog and compact operators
On Motzkin sequence spaces via <i>q</i> -analog and compact operators Open
We aim to develop a q q -analog of recently introduced Motzkin sequence spaces by Erdem et al. [ Motzkin sequence spaces and Motzkin core , Numer. Funct. Anal. Optim. 45 (2024), no. 4–6, 283–303] by using q q -Motzkin numbers and intro…
View article: On the Double Sequence Space Hϑ as an Extension of Hahn Space <i>h</i>
On the Double Sequence Space Hϑ as an Extension of Hahn Space <i>h</i> Open
Double sequence spaces have become a significant area of research within functional analysis due to their applications in various branches of mathematics and mathematical physics. In this study, we investigate Hahn double sequence space de…
View article: Exploring the $ q $-analogue of Fibonacci sequence spaces associated with $ c $ and $ c_0 $
Exploring the $ q $-analogue of Fibonacci sequence spaces associated with $ c $ and $ c_0 $ Open
We have proposed a $ q $-analogue $ c(\mathcal{F}(q)) $ and $ c_0(\mathcal{F}(q)) $ of Fibonacci sequence spaces, where $\mathcal{F}(q) = (f^q_{km})$ denotes a $ q $-Fibonacci matrix defined in the following manner: \begin{document}$ f^q…
View article: A study of novel telephone sequence spaces and some geometric properties
A study of novel telephone sequence spaces and some geometric properties Open
For a nonnegative integer k , let $\mathcal {T}_{k}$ denote the k th telephone number. Consider the matrix $\mathfrak{T}=(\mathfrak {T}_{kr})$ given by $$\begin{aligned} \mathfrak {T}_{kr}= \textstyle\begin{cases} \dfrac{r\ma…
View article: On the Double Sequence Space $\mathcal{H}_{\vartheta}$ as an Extension of Hahn Space $h$
On the Double Sequence Space $\mathcal{H}_{\vartheta}$ as an Extension of Hahn Space $h$ Open
Double sequence spaces have become a significant area of research within functional analysis due to their applications in various branches of mathematics and mathematical physics. In this study, we investigate Hahn double sequence space de…
View article: Sequence spaces derived by $q_{\lambda}$ operators in $\ell _{p}$ spaces and their geometric properties
Sequence spaces derived by $q_{\lambda}$ operators in $\ell _{p}$ spaces and their geometric properties Open
In this paper, we establish a novel category of sequence spaces $\ell _{p}^{q_{\lambda}}$ and $\ell _{\infty}^{q_{\lambda}}$ by utlizing q -analogue $\Lambda^{q}$ of Λ-matrix. Our investigation outlines several topologica…
View article: A study of the q-analogue of the paranormed Cesàro sequence spaces
A study of the q-analogue of the paranormed Cesàro sequence spaces Open
In this article, we introduce and investigate the q-Ces?ro matrix C(q) = (cq uv) with q ? (0, 1) for which we have cq uv ={qv/[u + 1]q (0 ? v ? u) 0 (v > u), where the q-number [?]q is given, as usual in the q-theory, by [?]q := {1 ? q?/1 …
View article: Corrigendum to ” Matrix transformation and application of Hausdorff measure of non-compactness on newly defined Fibo-Pascal sequence spaces” [ Filomat 38:4 (2024), 1185-1196]
Corrigendum to ” Matrix transformation and application of Hausdorff measure of non-compactness on newly defined Fibo-Pascal sequence spaces” [ Filomat 38:4 (2024), 1185-1196] Open
This corrigendum is to express the definition of the Fibo-Pascal matrix PF = (pFnk) involving Fibonomial coefficient and its inverse [PF]-1 = ((pF)-1nk) were given in[2]. So, the last two paragraphs of the introductory section in [1] shoul…
View article: Matrix transformation and application of Hausdorff measure of non-compactness on newly defined Fibo-Pascal sequence spaces
Matrix transformation and application of Hausdorff measure of non-compactness on newly defined Fibo-Pascal sequence spaces Open
In this article, we introduce Fibo-Pascal sequence spaces PFc and PF0 by utilizing a newly defined Fibo-Pascal matrix PF. It is proved that PFc and PF0 are BK-spaces that are linearly isomorphic to c and c0, respectively. Furthermore, the …
View article: On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties
On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties Open
We develop some new sequence spaces 𝓁p(P(q)) and 𝓁∞(P(q)) by using q-Pascal matrix P(q). We discuss some topological properties of the newly defined spaces, obtain the Schauder basis for the space 𝓁p(P(q)) and determine the Alpha-(α-), Bet…
View article: A study on q-analogue of Catalan sequence spaces
A study on q-analogue of Catalan sequence spaces Open
In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0(C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obt…
View article: On the domain of q-Euler matrix in c and c0 with its point spectra
On the domain of q-Euler matrix in c and c0 with its point spectra Open
We introduce new Banach spaces e?,? 0 (q) and e?,? c (q) defined as the domain of generalized q-Euler matrix E?,?(q) in the spaces c0 and c, respectively. Some topological properties and inclusion relations related to the newly defined spa…
View article: Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces
Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces Open
In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces. We further focus on estimating the upper …
View article: Sequence Spaces and Spectrum of q-Difference Operator of Second Order
Sequence Spaces and Spectrum of q-Difference Operator of Second Order Open
The sequence spaces ℓp(∇q2)(0≤p<∞) and ℓ∞(∇q2) are introduced by using the q-difference operator ∇q2 of the second order. Apart from studying some basic properties of these spaces, we construct the basis and obtain the α-, β- and γ-duals o…
View article: On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal
On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal Open
In the present study, we have constructed new Banach sequence spaces ℓ p L , c 0 L , c L , and ℓ ∞ L , where L = l v , k is a regular matrix defined by l v , k = l k …
View article: The Spectrum of Second Order Quantum Difference Operator
The Spectrum of Second Order Quantum Difference Operator Open
In this study, we give another generalization of second order backward difference operator ∇2 by introducing its quantum analog ∇q2. The operator ∇q2 represents the third band infinite matrix. We construct its domains c0(∇q2) and c(∇q2) in…
View article: Domain of q-Cesàro matrix in Hahn sequence space hd and the space bv of the sequences of bounded variation
Domain of q-Cesàro matrix in Hahn sequence space hd and the space bv of the sequences of bounded variation Open
Let hd = n f = (fk) ? ? : P k dk| fk ? fk+1| < ? o ? c0, where d = (dk) is an unbounded and monotonic increasing sequence of positive reals. We study the matrix domains hd(Cq) = (hd)Cq and bv(Cq)=(bv)Cq, where Cq is the q-Ces?ro matrix, 0 …
View article: Domain of Padovan q-difference matrix in sequence spaces lp and l∞
Domain of Padovan q-difference matrix in sequence spaces lp and l∞ Open
In this study, we construct the difference sequence spaces lp (P?2q) = (lp)P?2q, 1 ? p ? ?, where P = (?rs) is an infinite matrix of Padovan numbers %s defined by ?rs = {?s/?r+5-2 0 ? s ? r, 0 s > r. and ?2q is a q-difference operator of s…
View article: Poisson like matrix operator and its application in <i>p</i>-summable space
Poisson like matrix operator and its application in <i>p</i>-summable space Open
The incomplete gamma function Γ( a , u ) is defined by Γ ( a , u ) = ∫ u ∞ t a − 1 e − t d t , $$\Gamma(a,u)=\int\limits_{u}^{\infty}t^{a-1}\textrm{e}^{-t}\textrm{d} t,$$ where u > 0. Using the incomplete gamma function…
View article: On Generalized<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"><a:mfenced open="(" close=")"><a:mrow><a:mi>p</a:mi><a:mo>,</a:mo><a:mi>q</a:mi></a:mrow></a:mfenced></a:math>-Euler Matrix and Associated Sequence Spaces
On Generalizedp,q-Euler Matrix and Associated Sequence Spaces Open
In this study, we introduce new BK -spaces bsr,tp,q and b∞r,tp,q derived by the domain of p,q -analogue Br,tp,q of the binomial matrix in the spaces ℓs and ℓ∞, respectively. We study certain topological properties and inclusion relations o…
View article: On sequence spaces defined by the domain of tribonacci matrix in $c_0$ and $c$
On sequence spaces defined by the domain of tribonacci matrix in $c_0$ and $c$ Open
In this article we introduce tribonacci sequence spaces c(0)(T) and c(T) derived by the domain of a newly defined regular tribonacci matrix T. We give some topological properties, inclusion relations, obtain the Schauder basis and determin…
View article: On Λ-Fibonacci difference sequence spaces of fractional order
On Λ-Fibonacci difference sequence spaces of fractional order Open
In this article, we introduce -Fibonacci difference operator of fractional order which is obtained by the composition of -Fibonacci matrix and backward fractional difference operator defined by and introduce the sequence spaces and We give…
View article: Compact operators on Riesz difference sequence space of fractional order
Compact operators on Riesz difference sequence space of fractional order Open
In this paper we study the domain of generalized Riesz difference matrix RqΔ(α) of fractional order α in the classical sequence spaces c0 and c and introduced the sequence spaces r0q(Δ(α)) and rcq(Δ(α)). We obtain the α−, β− and γ−duals of…
View article: Norm of matrix operator on Orlicz-binomial spaces and related operator ideal
Norm of matrix operator on Orlicz-binomial spaces and related operator ideal Open
The purpose of this article is to introduce Orlicz extension of binomial sequence spaces b r,s ϕ and investigate some topological and inclusion properties of the new spaces.We give an upper estimation of A ϕ ,b r,s ϕ , where A is the Hausd…
View article: Quasi-Cesàro matrix and associated sequence spaces
Quasi-Cesàro matrix and associated sequence spaces Open
In the present study, we construct a new matrix which we call quasi-Cesaro matrix and is a generalization of the ordinary Cesaro matrix, and introduce $BK$-spaces $C^q_k$ and $C^q_{\infty}$ as the domain of the quasi-Cesaro matrix $C^q$ in…
View article: On a Generalized Difference Sequence Spaces of Fractional Order associated with Multiplier Sequence Defined by A Modulus Function
On a Generalized Difference Sequence Spaces of Fractional Order associated with Multiplier Sequence Defined by A Modulus Function Open
Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗. Using the difference operator Δ^α, we introduce …
View article: SOME NEW TYPES OF CONTINUITY IN ASYMMETRIC METRIC SPACES
SOME NEW TYPES OF CONTINUITY IN ASYMMETRIC METRIC SPACES Open
Using the notion of forward and backward arithmetic convergence in asymmetric metric space, we define arithmetic $ff$-continuity and arithmetic $fb$-continuity and prove some interesting results in asymmetric metric space. Finally, we intr…
View article: Arithmetic continuity in cone metric space
Arithmetic continuity in cone metric space Open
William Henry Ruckle introduced the notion of arithmetic convergence in the sense that a sequence defined on the set of natural numbers is said to be arithmetic convergent if for each there is an integer such that for every integer , , whe…