Results 221 to 230 of about 30,330 (245)
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Linear isomorphic spaces of Cesàro–Nörlund operator, their duals and matrix transformations
Journal of Applied Analysis, 2022In this article, we introduce and study sequence spaces of Cesàro–Nörlund operators of order n associated with a sequence of Orlicz functions. We obtain some topological properties and Schauder basis of these sequence spaces. Moreover, we compute the α-,
Uday Singh, Swati Jasrotia, K. Raj
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A New Series Space Derived by Absolute Generalized Nörlund Means
Mathematica Slovaca, 2023In a way different from traditional methods, recently, new series spaces have been established by using absolute summability methods. Among these absolute summability methods, the absolute generalized Nörlund summability method |N, pn, qn, θn|k is ...
Canan Güleç
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Numerical Functional Analysis and Optimization, 2022
In this paper, we investigate some properties of the domains and of the Gamma matrix of order n in the classical spaces c 0, c and of absolutely p-summable, null, convergent and bounded sequences, respectively, and compute the α-, β- and γ-duals of these
H. Roopaei, F. Başar
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In this paper, we investigate some properties of the domains and of the Gamma matrix of order n in the classical spaces c 0, c and of absolutely p-summable, null, convergent and bounded sequences, respectively, and compute the α-, β- and γ-duals of these
H. Roopaei, F. Başar
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α-, β- and γ-duals of the sequence spaces formed by a regular matrix of Tetranacci numbers
Journal of Applied AnalysisThe 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 ) {\
Izhar Ali Khan, Mayanglambam Udoy Meitei
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A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers
Journal of Applied AnalysisIn this paper, we generalize the notions of the Köthe–Toeplitz duals of sequence spaces by introducing the concepts of bicomplex α-dual, bicomplex β-dual and bicomplex γ-dual, and also we compute them for some bicomplex sequence spaces l p ( 𝔹 ℂ ...
Nilay Değirmen, B. Sağır
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On sequence spaces defined by the domain of a regular tribonacci matrix
, 2020In 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 ...
Taja Yaying, B. Hazarika
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Facta Universitatis Series Mathematics and Informatics
Paranormed linear spaces have many important properties, since they appear as the generalization of normed linear spaces. The most well-known the paranormed linear space among these spaces is ℓ(p) linear space of the sequences x=(x_{k}) satisfying ∑_{k ...
Canan Hazar Güleç +1 more
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Paranormed linear spaces have many important properties, since they appear as the generalization of normed linear spaces. The most well-known the paranormed linear space among these spaces is ℓ(p) linear space of the sequences x=(x_{k}) satisfying ∑_{k ...
Canan Hazar Güleç +1 more
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On the paranormed Nörlund difference sequence space of fractional order and geometric properties
Mathematica Slovaca, 2021In this article we introduce paranormed Nörlund difference sequence space of fractional order α, Nt(p, Δ(α)) defined by the composition of fractional difference operator Δ(α), defined by (Δ(α)x)k=∑i=0∞(−1)iΓ(α+1)i!Γ(α−i+1)xk−i,$\begin{array ...
Taja Yaying
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A q-analog of Schröder sequence spaces and compact operators
Georgian Mathematical JournalWe introduce q-analog of Schröder matrix and discuss its domains in the spaces c and c 0 {c_{0}} . Also, the Schauder basis and α-, β-, γ-duals are given and certain classes of matrix mappings are characterized on these spaces.
Muhammet Dağlı +2 more
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