Results 81 to 90 of about 5,299,272 (110)

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
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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

On the Statistical Convergence of Order α in Paranormed Space

Symmetry, 2018
The aim of the present work is to introduce notions of statistical convergence, strongly p-Cesàro summability and the statistically Cauchy sequence of order α in paranormed spaces.
Sinan Ercan
exaly   +2 more sources

Some paranormed Euler sequence spaces of difference sequences of order m

Mathematica Slovaca, 2013
The main purpose of this work is to extend the sequence spaces which are defined in [KARAKAYA, V.-POLAT, H.: Some new paranormed sequence spaces defined by Euler and difference operators, Acta Sci. Math.
Harun Polat, Vatan Karakaya
exaly   +2 more sources

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

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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 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 new paranormed sequence space and some matrix transformations.

2012
Summary: We introduce the space \(r^q(u,p)\). We prove its completeness property and show its linear isomorphism to \(l(p)\). Also, investigations are made for computing its \(\alpha\)-, \(\beta\)- and \(\gamma\)-duals. Furthermore, we construct the basis of \(r^q(u,p)\). Finally, we characterize the classes \((r^q(u,p):l_\infty), (r^q(u,p) : c)\) and \
Sheikh, Neyaz Ahmad, Ganie, Ab Hamid
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