Results 31 to 40 of about 631 (73)
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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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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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
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The ℓ‐translativity of Abel‐type matrix
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 189-195, 2000., 2000 Lemma introduced the Abel‐type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α > −1, 0 < tn < 1, for all n, and limtn = 1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its translativity in the ℓ‐ℓ setting.
Mulatu Lemma
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 49-53, 2000., 2000 We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupnsn < 1.
Deng Lei, Li Shenghong
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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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Abel‐type weighted means transformations into ℓ
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 197-204, 2000., 2000 Let qk=(k+α k) for α > −1 and Qn=∑k=0nqk. Suppose Aq = {ank}, where ank = qk/Qn for 0 ≤ k ≤ n and 0 otherwise. Aq is called the Abel‐type weighted mean matrix. The purpose of this paper is to study these transformations as mappings into ℓ. A necessary and sufficient condition for Aq to be ℓ‐ℓ is proved.
Mulatu Lemma, George Tessema
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The Abel‐type transformations into ℓ
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 775-784, 1999., 1999 Let t be a sequence in (0, 1) that converges to 1, and define the Abel‐type matrix Aα,t by for α > −1. The matrix Aα,t determines a sequence‐to‐sequence variant of the Abel‐type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into ℓ.
Mulatu Lemma
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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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