Results 31 to 40 of about 71,182 (255)

$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
The aim of this paper is to define and study the concept of $\mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space.
Aysegul Caksu Guler
doaj   +1 more source

Ideal convergent subseries in Banach spaces [PDF]

open access: yesQuaestiones 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
openaire   +3 more sources

Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

open access: yesAxioms, 2021
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
doaj   +1 more source

On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space [PDF]

open access: yesYugoslav Journal of Operations Research, 2020
In this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non ...
Khan Vakeel A., Ahmad Mobeen
doaj   +1 more source

ON THE IDEAL CONVERGENCE OF MARTINGALES

open access: yesInternational Conference on Scientific and Innovative Studies, 2023
This paper deals with the ideal convergence theorem of martingales of ideal Bochner integrablefunctions.First, a characterization of the properties of ideal convergent martingales is obtained.In this papermartingales of ideal Bochner integrable functions with values in a Banach space are treated.
openaire   +1 more source

Ideal Convergence of k-Positive Linear Operators

open access: yesJournal of Function Spaces and Applications, 2012
We study some ideal convergence results of k-positive linear operators defined on an appropriate subspace of the space of all analytic functions on a bounded simply connected domain in the complex plane.
Akif Gadjiev   +2 more
doaj   +1 more source

Ideal convergence generated by double summability methods

open access: yesDemonstratio Mathematica, 2016
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
doaj   +1 more source

On $A$-statistical convergence and $A$-statistical Cauchy via ideal

open access: yesKarpatsʹkì 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
doaj   +1 more source

On ideal convergence Fibonacci difference sequence spaces

open access: yesAdvances 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

Convergence in trace ideals [PDF]

open access: yesProceedings 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

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