Results 31 to 40 of about 881 (112)
On pointwise and uniform statistical convergence of order α for sequences of functions
, 2013 In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order α for sequences of real-valued functions. Furthermore, we give the concept of an α-statistically Cauchy sequence for sequences of real-valued functions and
Muhammed Çınar, Murat Karakas, M. Et
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Product of statistical probability convergence and its applications to Korovkin-type theorem
Miskolc Mathematical Notes, 2019 In the present work, we introduce and study the notion of statistical probability convergence for sequences of random variables as well as the concept of statistical convergence for sequences of real numbers, which are defined over a Banach space via ...
B. Jena, S. K. Paikray
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The Abel‐type transformations into Gw
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 103-109, 2001., 2001 The Abel‐type matrix Aα,t was introduced and studied as a mapping into ℓ by Lemma (1999). The purpose of this paper is to study these transformations as mappings into Gw. The necessary and sufficient conditions for Aα,t to be Gw‐Gw are established. The strength of Aα,t in the Gw‐Gw setting is investigated.
Mulatu Lemma, George Tessema
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Open Mathematics, 2019 The set of subsums of the series ∑n=1∞$\begin{array}{} \sum_{n=1}^{\infty} \end{array}$ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval.
Ferdinands John, Ferdinands Timothy
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Upper Limit Superior and Lower Limit Inferior of Soft Sequences
International journal of engineering and technology, 2018 In this paper we have provided some of evidence work of the authors R.N.Hasan, O.A Tantawy in 2016 [1] thy given proof of the concept between two bound soft sets & subsets of soft elements real numbers also was concluded an upper bound and lower bound by
A. H. Hameed +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 1, Page 9-23, 2001., 2001 The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe‐Toeplitz duals E×(×∈{α, β}) combined with dualities (E, G), G ⊂ E×, and the SAK‐property (weak sectional convergence).
Johann Boos, Toivo Leiger
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Some new facts about group 𝒢 generated by the family of convergent permutations
Open Mathematics, 2017 The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms.
Wituła Roman +2 more
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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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Lineability and modes of convergence [PDF]
, 2020 In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.
Calderón Moreno, María del Carmen +2 more
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On ℐ-asymptotically lacunary statistical equivalent sequences
, 2012 This paper presents the following definition, which is a natural combination of the definitions for asymptotically equivalent, ℐ-statistically limit and ℐ-lacunary statistical convergence. Let θ be a lacunary sequence; the two nonnegative sequences x=(xk)
E. Savaş
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