Results 31 to 40 of about 3,279 (212)

Lacunary I-Convergent Sequences [PDF]

open access: yesKyungpook mathematical journal, 2012
Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra   +2 more
openaire   +1 more source

Lacunary statistical convergence of double sequences of sets [PDF]

open access: bronzeSoft Computing, 2015
Fatıh Nuray   +2 more
openalex   +3 more sources

Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space

open access: yesJournal of Mathematical Sciences and Modelling, 2023
On $\mathscr{L}-$ fuzzy normed spaces, which is the generalization of fuzzy spaces, the notion of lacunary statistical convergence for double sequences which is a generalization of statistical convergence, are studied and developed in this paper.
Reha Yapalı, Husamettin Coşkun
doaj   +1 more source

On I θ 2 $\mathcal{I}_{{\theta}_{2}}$ -convergence in fuzzy normed spaces

open access: yesJournal of Inequalities and Applications, 2020
In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces.
Muhammed Recai Türkmen
doaj   +1 more source

Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces

open access: yesJournal of Mathematics, 2021
The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
doaj   +1 more source

Some new sequence spaces defined by lacunary sequences [PDF]

open access: yesMathematica Slovaca, 2007
Abstract It is natural to expect that lacunary almost convergence must be related to the some concept of lacunary almost bounded variations in the some view as almost convergence is related to almost bounded variation. The purpose of this paper is to examine this new concept in some details. Some inclusion theorems have been established.
Savaş, Ekrem, Savaş, Ekrem
openaire   +6 more sources

Lacunary Statistical Convergence of Sequences of Real-Valued Functions

open access: yesJournal of Mathematics, 2013
We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence.
A. Gökhan
doaj   +1 more source

On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath   +2 more
doaj   +1 more source

Double sequence spaces characterized by lacunary sequences

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş, Ekrem, Patterson, Richard F.
openaire   +3 more sources

Lacunary I-invariant convergence

open access: yesCumhuriyet Science Journal, 2020
In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
doaj   +1 more source

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