Results 51 to 60 of about 1,597,416 (183)

Ideal convergence of multiset sequences

Filomat, 2023
Although elements are written only once in classical set theory, it is possible to find many examples in daily life where an element is repeated more than once in a set and each repetition is indispensable. This situation is an indication of how important multisets are.
Nihal Demir, Hafize Gümüş
openaire   +1 more source

Orlicz–Pettis Theorem through Summability Methods

Mathematics, 2019
This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra, María del Pilar Romero de la Rosa, Antonio Sala   +2 more
doaj   +1 more source

On ideal sequence covering maps

Applied General Topology, 2019
In this paper we introduce the concept of ideal sequence covering map which is a generalization of sequence covering map, and investigate some of its properties.
Sudip Kumar Pal, Nayan Adhikary, Upasana Samanta   +2 more
doaj   +1 more source

Certain aspects of Nörlund ℐ-statistical convergence of sequences in neutrosophic normed spaces

Demonstratio Mathematica, 2023
The aim of this article is to investigate the neutrosophic Nörlund ℐ-statistically convergent sequence space. We present some neutrosophic normed spaces (NNSs) in Nörlund convergent spaces.
Kişi Ömer, Gürdal Mehmet, Çakal Burak   +2 more
doaj   +1 more source

Some Results on Quasi Ideal Statistical Convergence via Fuzzy Cone Normed Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we have presented and explored the study of quasi ideal statistical convergence for sequences on fuzzy cone normed space.  The related topological and geometrical properties are illustrated with examples.
Reena Antal, Manpreet Kaur, Meenakshi Chawla   +2 more
doaj   +1 more source

$\\Delta^m$-ideal convergence

, 2011
Statistical convergence has several applications in different fields of Mathematics: Number theory, trigonometric series, summability theory, probability theory, measure theory, optimization and approximation theory.
Nuray, Fatih, Gök, Hafize Gümüş
core   +1 more source

SOME SET THEORETIC OPERATORS PRESERVING IDEAL HAUSDORFF CONVERGENCE

, 2023
In this article, we investigate set theoretic operators preserving the ideal Hausdorff convergence of sequences of sets. Then we showed that pointwise continuous functions are not sufficient to preserve ideal Hausdorff convergence.
Olmez, Oznur, ALBAYRAK, Hüseyin, AYTAR, Salih   +2 more
core   +1 more source

Some new lacunary statistical convergence with ideals

Journal of Inequalities and Applications, 2017
In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
doaj   +1 more source

Ideal convergence and divergence of nets in (ℓ)-groups [PDF]

Czechoslovak Mathematical Journal, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BOCCUTO, Antonio, DIMITRIOU X., PAPANASTASSIOU N.   +2 more
openaire   +2 more sources

Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces

Fuzzy Information and Engineering, 2022
The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion.
Ömer Kişi, Pradip Debnath
doaj   +1 more source