Results 41 to 50 of about 118 (107)
On sequences not enjoying Schur’s property
Open Mathematics, 2017 Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some
Jiménez-Rodríguez Pablo
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a unified approach of inequalities for the finite products (i · (i + k) · ⋅⋅(i + (n − 1)k))/(k · 2k · ⋅⋅(nk)), where k ≥ 2 is a fixed integer and i ∈ {1, 2, …, k − 1}. Motivated by previously known results for the cases k = 2, 3, 4, and 5, we express these products in terms of gamma function ratios and investigate the ...
Jenică Crînganu, Smritijit Sen
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Statistical limit point theorems
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 741-752, 2000., 2000 It is known that given a regular matrix A and a bounded sequence x there is a subsequence (respectively, rearrangement, stretching) y of x such that the set of limit points of Ay includes the set of limit points of x. Using the notion of a statistical limit point, we establish statistical convergence analogues to these results by proving that every ...
Jeff Zeager
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Exploring the Z‐Spaces of Double Sequences of Scalars: Z2‐Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduced and investigated the spaces Z2u,w;X of double sequences as natural extensions of the classical sequence spaces Zu,w;X. We characterized the β‐duals of these spaces and obtained explicit representations in terms of multiplier spaces and difference‐type conditions involving the operators Δkm+.
Cenap Duyar +2 more
wiley +1 more source
On some topological properties of generalized difference sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 785-791, 2000., 2000 We obtain some topological results of the sequence spaces Δm(X), where Δm(X) = {x = (xk) : (Δmxk) ∈ X}, (m ∈ ℕ), and X is any sequence space. We compute the pα‐, pβ‐, and pγ‐duals of l∞, c, and c0 and we investigate the N‐(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0).
Mikail Et
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Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
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Lucas difference sequence spaces defined by Orlicz function in 2-normed spaces
Demonstratio MathematicaIn this article, we introduce new sequence spaces defined via an Orlicz function within the framework of a 2-normed space and incorporating the Lucas difference matrix and its associated matrix domain.
Cai Qing-Bo +3 more
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Invariant means and lacunary sequence spaces of order (α, β)
Demonstratio MathematicaIn this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
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Orlicz fonksiyonu yardımıyla tanımlanan genelleştirilmiş fark dizi uzayları [PDF]
, 2004 : Fark dizi uzayları Kızmaz [1] tarafından tanımlandı, bu fikir Et-Çolak [2] tarafından genelleştirildi. Bu makalede bir Orlicz fonksiyonu kullanarak genelleştirilmiş fark dizi uzaylarını tanımladık ve bu dizi uzaylarının bazı özelliklerini inceledik ...
Gökhan, Ayşegül +2 more
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On Continuities via P-Statistical Convergence [PDF]
This study investigates the concepts of P-statistical continuity (statistical continuity with respect to power series method) and P-statistical ward continuity (statistical ward continuity with respect to power series method) within the framework of ...
Yıldız, Sevda, Demirci, Kamil
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