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On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences

open access: yesDemonstratio Mathematica, 2014
In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
doaj   +1 more source

A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm.
Vakeel A Khan, Mohd Faisal
doaj   +1 more source

Some remarks on stronger versions of the Boundary Problem for Banach spaces [PDF]

open access: yes, 2010
Let $X$ be a real Banach space. A subset $B$ of the dual unit sphere of $X$ is said to be a boundary for $X$, if every element of $X$ attains its norm on some functional in $B$.
Hardtke, Jan-David
core   +5 more sources

On Some Classes of Double Difference Sequences of Interval Numbers

open access: yesAbstract and Applied Analysis, 2014
The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak-Orlicz function M=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence ...
S. A. Mohiuddine   +2 more
doaj   +1 more source

Characterization of Entire Sequences via Double Orlicz Space [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
LetΓdenote the space of all entire sequences and∧the space of all analytic sequences. This paper is a study of the characterization and general properties of entire sequences via double Orlicz space ofΓM2ofΓ2establishing some inclusion relations.
N. Subramanian   +2 more
openaire   +3 more sources

Spaces of Double Sequences of Fuzzy Numbers [PDF]

open access: yesMathematical and Computational Applications, 2000
In this paper, we introduce some new double sequence spaces of fuzzy numbers, and show that they are complete metric spaces.
openaire   +2 more sources

Biinvariant functions on the group of transformations leaving a measure quasiinvariant [PDF]

open access: yes, 2014
Let $Gms$ be the group of transformations of a Lebesgue space leaving the measure quasiinvariant, let $Ams$ be its subgroup consisting of transformations preserving the measure.
Neretin, Yuri A.
core   +1 more source

Double lacunary sequence spaces of double interval numbers [PDF]

open access: yesProyecciones (Antofagasta), 2012
In this paper we introduce the concepts of double lacunary strongly convergence and double lacunary statistical convergence of double interval numbers. We prove some inclusion relations and study some of their properties.
openaire   +1 more source

Double sequence spaces over n-normed spaces defined by a sequence of Orlicz functions [PDF]

open access: yesJournal of Inequalities and Applications, 2014
Abstract In the present paper we introduce double sequence space m 2 ( M , A , ϕ , p , ∥
Abdullah Alotaibi   +2 more
openaire   +2 more sources

Birational geometry of the moduli space of rank 2 parabolic vector bundles on a rational curve [PDF]

open access: yes, 2015
We investigate the birational geometry (in the sense of Mori's program) of the moduli space of rank 2 semistable parabolic vector bundles on a rational curve.
Moon, Han-Bom, Yoo, Sang-Bum
core   +1 more source

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