Results 71 to 80 of about 479 (148)

Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2015
We generalize the lacunary statistical convergence by introducing the generalized difference operator Δνα of fractional order, where α is a proper fraction and ν=(νk) is any fixed sequence of nonzero real or complex numbers.
Ugur Kadak
doaj   +1 more source

On generalized difference lacunary statistical convergence in a paranormed space [PDF]

open access: yes, 2013
In this article, we introduce the concept of -lacunary statistical convergence and -lacunary strong convergence in a paranormed space.
Selma Altundağ, Altundağ, Selma
core   +1 more source

Lacunary sequences related to statistical convergence

open access: yesAnnals of Communications in Mathematics, 2020
In this manuscript, our concern is to introduce the new approach of studying the lacunary almost statistical convergence and strongly almost convergence of the generalized difference sequences of fuzzy numbers. Some interesting and basic properties concerning them will be studied.
openaire   +2 more sources

Lacunary strong A -convergence sequence spaces defined by a sequence of moduli

open access: yesKuwait Journal of Science, 2013
The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A -convergence with respect to a sequence of moduli.
AYHAN ESI
doaj  

Riesz lacunary uniform integrability and statistical convergence via power series method

open access: yesJournal of Inequalities and Applications
In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan   +3 more
doaj   +1 more source

Lacunary Statistical Convergence of Sequences of Sets [PDF]

open access: yes, 2012
Several notions of convergence for subsets of metric space appear in the literature. In this paper we define lacunary statistical convergence for sequences of sets and study in detail the relationship between other convergence ...
NURAY, FATIH, ULUSU, UGUR
core   +2 more sources

f-lacunary statistical convergence in topological groups

open access: yesActa Scientiarum: Technology
In this study, we will define the concept of -lacunary statistical convergence in topological groups with the help of an unbounded modulus function.
Süleyman Sarikaya, Yavuz Altin
doaj   +1 more source

Statistical and lacunary statistical convergence of interval numbers in topological groups

open access: yesActa Scientiarum: Technology, 2014
In this paper we introduce the concepts of statistical and lacunary statistical convergence of interval numbers in topological groups. We prove some inclusion relations and study some of their properties.
Ayhan Esi
doaj   +1 more source

Lacunary statistical soft convergence in soft topology

open access: yesSoft Computing
Abstract Statistical convergence and some related types of convergence are a generalisation of topological convergence. Similarly, soft set theory, introduced by Molodtsov to deal with uncertainty in various scientific fields, is a generalisation of the classical concept of sets.
Erdal Bayram, Melisa Dervisoglu
openaire   +2 more sources

Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences

open access: yesITM Web of Conferences, 2018
The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1].
Et Mikail   +2 more
doaj   +1 more source

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