Results 41 to 50 of about 1,597,416 (183)
Ideal convergent subseries in Banach spaces [PDF]
Quaestiones Mathematicae, 2018 Assume that $\mathcal{I}$ is an ideal on $\mathbb{N}$, and $\sum_n x_n$ is a divergent series in a Banach space $X$. We study the Baire category, and the measure of the set $A(\mathcal{I}):=\left\{t \in \{0,1\}^{\mathbb{N}} \colon \sum_n t(n)x_n \textrm{ is } \mathcal{I}\textrm{-convergent}\right\}$.
Balcerzak, Marek +2 more
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Double sequences with ideal convergence in fuzzy metric spaces [PDF]
, 2023 We show ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I* -convergence and I*-Cauchy sequences for double sequences in fuzzy metric spaces. We define the I-limit and I-cluster points of a double sequence in these spaces. Afterward,
Or, Aykut
core +1 more source
On ideal convergence Fibonacci difference sequence spaces
Advances in Difference Equations, 2018 The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl.
Vakeel A. Khan +4 more
doaj +1 more source
On $A$-statistical convergence and $A$-statistical Cauchy via ideal
Karpatsʹkì Matematičnì Publìkacìï, 2022 In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
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Convergence in trace ideals [PDF]
Proceedings of the American Mathematical Society, 1981 We give an elementary proof of a theorem of Arazy which presents necessary and sufficient conditions on a symmetric sequence so that the associated symmetrically normed trace ideal has the property that if
openaire +1 more source
An alternative approach to ideal Wijsman convergence
Journal of Classical Analysis, 2023 Summary: The concept of Wijsman convergence of a sequence of sets was defined using the pointwise convergence of the sequence of distance functions. Based on this idea, in this article, a new type of set convergence is obtained by using the concept of ideal \(\alpha\)-convergence for the sequence of distance functions.
Ölmez, Öznur +2 more
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A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsIdeal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm.
Vakeel A Khan, Mohd Faisal
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On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsThis article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
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Ideal Convergence in neutrosophic 2-normed space via the parameter µ and Zweier Operator [PDF]
Neutrosophic Sets and SystemsThis paper introduces a novel convergence concept termed μ− Zweier ideal convergence within neutrosophic 2-normed spaces (briefly, N2NS). The parameter μ = (μn) represents a non-decreasing sequence of positive real numbers, with each μn tending to ...
Mobeen Ahmad +3 more
doaj +1 more source
Topology and its Applications, 2017 The authors use ideal convergence (\(\mathcal I\)-convergence), where \(\mathcal I\) is a \(D\)-admissible proper ideal on a directed set \(D\), to define \(\mathcal I\)-convergence classes. Several results in this context are obtained. In the main result of the paper (Theorem 4.3) it is shown how \(\mathcal I\)-convergence classes on a set \(X ...
Georgiou, D. N. +3 more
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