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Some new paranormed sequence spaces defined by Euler and difference operators

Acta Scientiarum Mathematicarum, 2010
The spaces ?co(p), ?c(p) and ? linfin(p) were defined by Ahmad and Mursaleen [1]. In [2], Altay and Polat also defined the sequence spaces er0(?), er c(?) and er?(?), and determined the absolute Köthe-Toeplitz duals of these spaces.
Harun Polat, Vatan Karakaya
exaly   +2 more sources

A new paranormed sequence space defined by Catalan conservative matrix [PDF]

Mathematical Methods in the Applied Sciences, 2021
In this study, by using the Catalan conservative matrix, we define a new paranormed sequence space l(C similar to,p) and show that the space l(C similar to,p) is linearly isomorphic to l(p).
Pinar Zengin Alp
exaly   +2 more sources

Some paranormed sequence spaces of non-absolute type derived by weighted mean [PDF]

Journal of Mathematical Analysis and Applications, 2006
The sequence spaces ℓ∞(p), c(p) and c0(p) were introduced and studied by Maddox [I.J. Maddox, Paranormed sequence spaces generated by infinite matrices, Proc. Cambridge Philos. Soc. 64 (1968) 335–340].
Bilal Altay, Feyzi Basar
exaly   +2 more sources

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On the Paranormed Space of Bounded Variation Double Sequences

Bulletin of the Malaysian Mathematical Sciences Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Medine Yeşilkayagil, Feyzi Başar
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Paranormed sequence spaces generated by infinite matrices

Mathematical Proceedings of the Cambridge Philosophical Society, 1968
A paranormed space X = (X, g) is a topological linear space in which the topology is given by paranorm g—a real subadditive function on X such that g(θ) = 0, g(x) = g(−x) and such that multiplication is continuous. In the above, θ is the zero in the complex linear space X and continuity of multiplication means that λn → λ, xn → x(i.e.
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On the paranormed sequence space arising from Catalan–Motzkin matrix

Advances in Operator Theory, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON THE PARANORMED TAYLOR SEQUENCE SPACES

2015
In this paper, the sequence spaces $t^r_0(p)$, $t^r_c(p)$ and $t^r(p)$ of non-absolute type which are the generalization of the Maddox \ sequence spaces have \ been introduced and it is proved that the spaces $t^r_0(p)$, $t^r_c(p)$ and $t^r(p)$ are linearly isomorphic to spaces $c_0(p)$, $c(p)$ and $\ell(p)$, respectively.
ELLIDOKUZOGLU, HACER BILGIN, DEMIRIZ, SERKAN   +1 more
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A SET OF NEW PARANORMED DIFFERENCE SEQUENCE SPACES AND THEIR MATRIX TRANSFORMATIONS

Asian-European Journal of Mathematics, 2013
In this paper, by using a new difference operator Δj, the author likes to introduce new classes of paranormed difference sequence spaces X(Δj, u, v; p) for X ∈ {ℓ∞, c, c0} and investigates their topological structures, where (un) and (vn) are two sequences satisfying certain conditions.
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A survey for paranormed sequence spaces generated by infinite matrices

2019
WOS ...
Basar, Feyzi, Yesilkayagil, Medine
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A paranormed fractional ordered Euler–Riesz difference sequence space

Asian-European Journal of Mathematics
In this study, we introduce a novel sequence space denoted as [Formula: see text] with a fractional order [Formula: see text]. This new space is defined by the matrix [Formula: see text], which is a composition of the Euler–Riesz matrix [Formula: see text] and the fractional ordered difference operator [Formula: see text].
Çiğdem A. Bektaş, Erdal Bayram
openaire   +3 more sources