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The double sequence space Γ2

100%

Subramanian N. , Tripathy B. C. , Murugesan C.

Fasciculi Mathematici

2008

tom Nr 40

91-103

Let Γ2 denote the space of all prime sense double entire sequences and Λ2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of Γ2.

The Nörlund Orlicz space of double gai sequences

100%

Subramanian N. , Misra U.

Fasciculi Mathematici

2011

tom Nr 46

131--139

Let x2 denotes the space of all double gai sequences. Let 2denotes the space of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space of gai sequence space ŋ (x2M) and x2M and Nörlund double Orlicz space of analytic sequence space ŋ (ᴧ2M) and 2M).

The generalized double difference of gai sequence spaces

100%

Subramanian N. , Misra U.

Fasciculi Mathematici

2010

tom Nr 43

155-164

In this paper, we define some new sequence spaces and give some topological properties of the sequence spaces ...[wzór] and investigate some inclusion relations.

The Nörlund space of double entire sequences

75%

Subramanian N. , Esi A.

Fasciculi Mathematici

2010

tom Nr 43

147-153

Let Γ2 denote the spaces of all double entire sequences. Let Λ2 denote the spaces of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double entire sequence space η (Γ2), Γ2 and also study some of the properties of η (Γ2) and η Λ2.

Some generalized spaces of vector valued double sequences defined by a modulus

75%

Subramanian N.

Fasciculi Mathematici

2013

tom Nr 51

159--172

In this paper we generalize the xf2 by introducing the sequence space xfmn2 (Δ(ηϒ)μ,p,q,r) and exhibit some general properties of the space.

The semi normed space defined by a double gai sequence of modulus function

75%

Subramanian N. , Misra U.

Fasciculi Mathematici

2010

tom Nr 45

111-120

In this paper we introduce the sequence spaces x2m(p, q, u), using an modulus function M and defined over a semi normed space (X, q); semi normed by q. We study some properties of these sequence spaces and obtain some inclusion relations.

On a study of double gai sequence space

63%

Subramanian N. , Misra U. K.

Journal of Mathematics and Applications

2013

tom Vol. 36

95--111

Let χ2 denote the space of all prime sense double gai sequences and Λ2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of χ2.

The random of lacunary statistical on χ2 over p-metric spaces defined by Musielak

51%

Subramanian N. , Babu R. , Thirunavukkarasu P.

Journal of Mathematics and Applications

2015

tom Vol. 38

133--150

Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-normed spaces. In this paper, we define and study the notion of lacunary statistical convergence and lacunary of statistical Cauchy sequences in random on χ2 over p- metric spaces dfined by Musielak and prove some theorems which generalizes Mohiuddine and Aiyup results.

Some triple difference rough Cesàro and lacunary statistical sequence spaces

51%

Esi A. , Subramanian N.

Journal of Mathematics and Applications

2018

tom Vol. 41

81--93

We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator Δ[αγ] of fractional order, where α is a proper fraction and γ = (γmnk) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence θ and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. The main focus of the present paper is to generalized rough Cesaro and lacunary statistical of triple difference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator Δ[αγ].