Results 1 to 10 of about 1,546,174 (193)

Double sequence spaces characterized by lacunary sequences [PDF]

Applied Mathematics Letters, 2007
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Richard F Patterson
exaly   +5 more sources

Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence [PDF]

Journal of Inequalities and Applications, 2008
We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.
Vatan Karakaya
doaj   +7 more sources

Centered Polygonal Lacunary Sequences [PDF]

Mathematics, 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, Drew Rutherford, Darin J. Ulness   +2 more
doaj   +2 more sources

Strongly Almost Lacunary -Convergent Sequences [PDF]

Abstract 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

On lacunary invariant sequence spaces defined by a sequence of modulus functions [PDF]

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Necip Simsek, Vatan Karakaya
exaly   +6 more sources

Generalized Difference Lacunary Weak Convergence of Sequences [PDF]

Sahand 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

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

Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +2 more sources

Lacunary statistical convergence of double sequences of sets [PDF]

Soft Computing, 2015
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Uğur Ulusu, Erdinc Dundar, Fatih Nuray   +2 more
exaly   +5 more sources