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Centered Polygonal Lacunary Sequences [PDF]

open access: yesMathematics, 2019
Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan   +2 more
doaj   +3 more sources

Lacunary Statistical and Lacunary Strongly Convergence of Generalized Difference Sequences of Fuzzy Numbers [PDF]

open access: yesComputers and Mathematics With Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rifat Colak, Yavuz Altin
exaly   +5 more sources

Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj
exaly   +4 more sources

Some new lacunary statistical convergence with ideals. [PDF]

open access: yesJ Inequal Appl, 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.
Kilicman A, Borgohain S.
europepmc   +2 more sources

Rough I 2 -lacunary statistical convergence of double sequences. [PDF]

open access: yesJ Inequal Appl, 2018
In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Kişi Ö, Dündar E.
europepmc   +2 more sources

Strongly Almost Lacunary -Convergent Sequences [PDF]

open access: yesAbstract and Applied Analysis, 2013
We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.
Adem Kılıçman, Stuti Borgohain
doaj   +5 more sources

σ-asymptotically lacunary statistical equivalent sequences [PDF]

open access: yesOpen Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş Ekrem, Patterson Richard
doaj   +6 more sources

Double sequence spaces characterized by lacunary sequences

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard F Patterson
exaly   +4 more sources

Strongly lacunary ward continuity in 2-normed spaces. [PDF]

open access: yesScientificWorldJournal, 2014
A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Çakalli H, Ersan S.
europepmc   +2 more sources

Generalized Difference Lacunary Weak Convergence of Sequences [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we introduce the concept of generalized difference lacunary weak convergence of sequences. Using the concept of difference operator, we have introduced some new classes of sequences. We investigated several of its algebraic and topological
Bibhajyoti Tamuli, Binod Tripathy
doaj   +2 more sources

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