Results 11 to 20 of about 600,818 (315)

Ideal Convergence of Random Variables [PDF]

open access: goldJournal of Function Spaces and Applications, 2013
The aim of this paper is to introduce and study the notion of I-convergence of random variables via probabilistic norms. Furthermore, we introduce I-convergence in Lp space and establish some interesting results.
B. Hazarika, S. A. Mohiuddine
doaj   +4 more sources

On ideal equal convergence [PDF]

open access: yesOpen Mathematics, 2014
AbstractWe consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472].
Filipów Rafał, Staniszewski Marcin
doaj   +5 more sources

Some new lacunary statistical convergence with ideals [PDF]

open access: goldJournal 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   +6 more sources

Regularly ideal invariant convergence of double sequences [PDF]

open access: goldJournal of Inequalities and Applications, 2021
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
doaj   +2 more sources

Orlicz-lacunary convergent triple sequences and ideal convergence

open access: diamondCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022
In the present paper we introduce and study Orlicz lacunary convergent triple sequences over n-normed spaces. We make an effort to present the notion of $g_{3}$-ideal convergence in triple sequence spaces. We examine some topological and algebraic features of new formed sequence spaces. Some inclusion relations are obtained in this paper.
Ömer Kı̇şı̇, Mehmet Gürdal
openalex   +9 more sources

Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2011
We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces.
Saeed Sarabadan, Sorayya Talebi
doaj   +2 more sources

Ideal convergence of multiset sequences

open access: diamondFilomat, 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
openalex   +3 more sources

On Copson Ideal Convergent Sequence Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis
The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson matrix via ideal convergence over an
Mohammad Idrisi   +5 more
doaj   +2 more sources

Powers of ideals and convergence of Green functions with colliding poles [PDF]

open access: green, 2012
Let us have a family of ideals of holomorphic functions vanishing at N distinct points of a complex manifold, all tending to a single point. As is known, convergence of the ideals does not guarantee the convergence of the pluricomplex Green functions to ...
Alexander Rashkovskii   +21 more
core   +4 more sources

A New Notion of Fuzzy Function Ideal Convergence [PDF]

open access: goldMathematics
P.M. Pu and Y.M. Liu extended Moore-Smith’s convergence of nets to fuzzy topology and Y.M. Liu provided analogous results to J. Kelley’s classical characterization theorem of net convergence by introducing the notion of fuzzy convergence classes.
Dimitrios Georgiou, Georgios Prinos
doaj   +2 more sources

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