Results 11 to 20 of about 3,272,186 (195)

Strongly Lacunary Ward Continuity in 2-Normed Spaces [PDF]

The Scientific World Journal, 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
Hüseyin Çakalli, Sibel Ersan
doaj   +2 more sources

Double sequence spaces characterized by lacunary sequences

Applied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard F Patterson
exaly   +3 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

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   +5 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

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

Mathematical sciences and applications e-notes, 2023
In this paper, we define the concepts of lacunary $\mathcal{I}^{\ast}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. We investigate the relations between strongly lacunary $\mathcal{I}$-convergence and strongly lacunary $\mathcal{I}^
Nimet Pancaroǧlu Akın, E. Dündar
semanticscholar   +2 more sources

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

Statistical summability through a lacunary sequence in locally solid Riesz spaces

Journal of Inequalities and Applications, 2012
In this paper, we introduce the concepts of lacunary statistical τ-convergence, lacunary statistically τ-bounded and lacunary statistically τ-Cauchy in the framework of locally solid Riesz spaces.
S A Mohiuddine, Mohammed I Alghamdi, Alghamdi Mohammed A   +2 more
exaly   +2 more sources

Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence

Abstract and Applied Analysis, 2014
The aim of this paper is to give the sufficient conditions on the sequence space Cesθ,p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear ...
Awad A. Bakery
doaj   +2 more sources