Results 31 to 40 of about 209 (74)
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 399-406, 2001., 2001 We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods. Among others, the conditions in our theorems are easy consequences of the slowly decreasing condition for real ...
Ferenc Móricz, Ulrich Stadtmüller
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Regular matrix methods of summability and real interpolation [PDF]
, 2021 We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–
Kryczka, Andrzej, Kurlej, Konrad
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Matrix transformations of starshaped sequences
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 4, Page 189-200, 2001., 2001 We deal with matrix transformations preserving the starshape of sequences. The main result gives the necessary and sufficient conditions for a lower triangular matrix A to preserve the starshape of sequences. Also, we discuss the nature of the mappings of starshaped sequences by some classical matrices.
Chikkanna R. Selvaraj, Suguna Selvaraj
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Iλ-statistically convergent sequences in topological groups [PDF]
, 2014 Let 2N be the family of all subsets of N. Using an ideal I ⊂ 2N, Savaş and Das in 2011 defined Iλ-statistical convergence of real sequences as a generalization of λ-statistical convergence introduced in 2000 by Mursaleen.
Savaş, Ekrem
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Lacunary statistical convergence and inclusion properties between lacunary methods
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 175-180, 2000., 2000 A lacunary sequence is an increasing integer sequence θ = {kr} such that kr − kr−1 → ∞ as r → ∞. A sequence x is called sθ‐convergent to L provided that for each ϵ > 0, limr(1/(kr − kr−1)){the number of kr−1 < k ≤ kr : |xk − L| ≥ ϵ} = 0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.
Jinlu Li
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Integrated and Differentiated Spaces of Triangular Fuzzy Numbers
, 2017 Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling.
Kirişci, Murat
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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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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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Submatrices of four dimensional summability matrices [PDF]
, 2015 In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a matrix that preserves boundedness.
Nuray, Fatih, Patterson, Richard F.
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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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