Results 1 to 10 of about 3,439 (184)

σ-asymptotically lacunary statistical equivalent sequences [PDF]

Central European Journal of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş Ekrem, Patterson Richard
openaire   +4 more sources

On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Communications in Advanced Mathematical Sciences, 2023
In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
doaj   +1 more source

Lacunary I-Convergent Sequences [PDF]

Kyungpook 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, Hazarika, Bipan, Choudhary, Bisweshwar   +2 more
openaire   +1 more source

Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces

Journal of Mathematics, 2021
In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the ...
Ömer Kişi
doaj   +1 more source

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

Journal 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

Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions

Journal of Mathematics, 2021
Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
doaj   +1 more source

On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Universal Journal of Mathematics and Applications, 2023
In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle, Nimet Pancaroğlu Akın, Erdinç Dündar   +2 more
doaj   +1 more source

Lacunary I-invariant convergence

Cumhuriyet 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

On Asymptotically Lacunary Statistical Equivalent Set Sequences [PDF]

Journal of Mathematics, 2013
This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterson and Savaş (2006).
Uğur Ulusu, Fatih Nuray
openaire   +5 more sources

L2 regularity of measurable solutions of a finite-difference equation of the circle [PDF]

, 2004
We show that if $\varphi$ is a lacunary Fourier series and the equation $\psi (x) -\psi (x + \alpha) = \varphi(x), x \bmod 1$ has a measurable solution $\varphi$, then in fact the equation has a solution in L2.
Herman, Michael R.
core   +4 more sources