Results 11 to 20 of about 161 (125)

Lacunary statistical convergence of double sequences of sets [PDF]

Soft Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uğur Ulusu, Erdinc Dundar, Fatih Nuray   +2 more
exaly   +5 more sources

Lacunary statistical convergence and inclusion properties between lacunary methods [PDF]

International Journal of Mathematics and Mathematical Sciences, 2000
A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of   kr ...
Jinlu Li
doaj   +3 more sources

On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence

Arab Journal of Mathematical Sciences, 2014
In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
doaj   +3 more sources

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

Axioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi, Hafize Gümüş, Ekrem Savas   +2 more
doaj   +3 more sources

Lacunary Statistical and Lacunary Strongly Convergence of Generalized Difference Sequences of Fuzzy Numbers

Computers and Mathematics With Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rifat Colak, Yavuz Altin
exaly   +4 more sources

Lacunary Arithmetic Statistical Convergence [PDF]

National Academy Science Letters, 2020
A lacunary sequence is an increasing integer sequence $θ=(k_r)$ such that $k_r-k_{r-1}\rightarrow \infty$ as $r\rightarrow \infty.$ In this article we introduce arithmetic statistically convergent sequence space $ASC$ and lacunary arithmetic statistically convergent sequence space $ASC_θ$ and study some inclusion properties between the two spaces ...
Taja Yaying, Bipan Hazarika
openaire   +2 more sources

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

Journal 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

Lacunary statistical convergence [PDF]

Pacific Journal of Mathematics, 1993
The sequence \(x\) is statistically convergent to \(L\) provided that for each \(\varepsilon>0\), \[ \lim_ n {1 \over n} \{\text{the number of } k \leq n:| x_ k-L | \geq \varepsilon\}=0. \] A related concept is introduced by replacing the set \(\{k:k \leq n\}\) with \(\{ k:k_{r-1}
Fridy, J. A., Orhan, C.
openaire   +2 more sources

One‐Sided Version of Law of the Iterated Logarithm for Summations of Signum Functions

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The law of the iterated logarithm (LIL), which describes the rate of convergence for a convergent lacunary series, was established by R. Salem and A. Zygmund. This rate is determined based on the variance‐like term of the remainder after n terms of the series.
Santosh Ghimire, Kenan Yildirim
wiley   +1 more source

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

Sahand 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, Santonu Debnath, Chiranjib Choudhury   +2 more
doaj   +1 more source