Sequence Of Modulus Functions Research Articles

Riesz Lacunary Sequence Spaces of Fractional Difference Operator

In this paper, we intend to make new approach to introduce and study some fractional difference sequence spaces by Riesz mean associated with infinite matrix and a sequence of modulus functions over n -normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored and some inclusion relations concerning these spaces are also establish. Finally, we make an effort to study the statistical convergence through fractional difference operator.

$I$-Convergence of triple difference sequence spaces over $n$-normed space

The main objective of this paper is to study triple difference sequence spaces over $n$-normed space via the sequence of modulus functions. Some algebraic and topological properties of the newly constructed spaces are also established.

On Generalized Fractional Order Difference Sequence Spaces Defined by a Sequence of Modulus Functions

On Generalized Fractional Order Difference Sequence Spaces Defined by a Sequence of Modulus Functions

Applications of strongly convergent sequences to Fourier series by means of modulus functions

Recently, Korus [7] studied the \({\Lambda^{2}}\)-strong convergence of numerical sequences. By using the idea of this paper, we introduce \({[\Lambda^{2}, F, u, p]}\)-strongly convergent sequence spaces defined by a sequence of modulus functions. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. Some characterizations for strong convergent sequences are given. Finally, we study statistical convergence over these spaces and problems related to Fourier series.

New A-Generalized Sequence Spaces Defined by Ideal Convergence and a Sequence of Modulus Functions on Multiple Normed Spaces

New A-Generalized Sequence Spaces Defined by Ideal Convergence and a Sequence of Modulus Functions on Multiple Normed Spaces

On certain generalized paranormed spaces

In the present paper we introduce and study some generalized paranormed sequence spaces defined by Musielak-Orlicz functions as well as by a sequence of modulus functions. We also study some topological properties and prove some inclusion relations between these spaces.

A New Double Sequence Space m2(F,ϕ,p) Defined by a Double Sequence of Modulus Functions

In this work we introduce new spaces m2(F,ϕ,p) of double sequences defined by a double sequence of modulus functions, and we study some properties of this space.

F-seminorms on generalized double sequence spaces defined by modulus functions

Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences. The main results are applied to the topologization of double sequence spaces related to 4-dimensional matrix methods of summability.

Some Ideal Convergent Sequence Spaces Defined by a Sequence of Modulus Functions Over n-Normed Spaces

In the present paper we study some ideal convergent sequence spaces defined by a sequence of modulus functions in n-normed spaces and examine some topological properties and inclusion relations between these spaces. Keywords: Lacunary sequence; Difference sequence space; Modulus function; Ideal convergence; n-normed space. 2010 Mathematics Subject Classification: 40A05; 40C05; 46A45

Some New Difference Sequence Spaces Defined by A Sequence of Modulus Functions

In this paper, we have constructed some new difference sequence spaces defined by a sequence of modulus functions and study some topological and algebraic properties of these spaces.

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Abstract In the present paper we study some I -convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces. We also examine some topological properties and prove some inclusion relations between these spaces.

A^I-statistical convergence with respect to a sequence of modulus functions

In this paper, we introduce the notion of A^{I}-[V,λ]-summability and A^{I}-λ-statistical convergence with respect to a sequence of modulus functions. We basically study some connections between A^{I}-λ-statistical convergence and A^{I}-statistical convergence with respect to a sequence of modulus functions.

Double sequence spaces defined by a sequence of modulus functions

In the present paper we introduce double sequence spaces defined by a sequence of modulus functions F = (fk,l). We also make an effort to study some topological properties and inclusion relations between these spaces.

New sequence spaces in multiple normed spaces

Abstract In this work, using lacunary sequences and the notion of ideal convergence we define and examine new sequence spaces with respect to a sequence of modulus functions in n-normed linear spaces. Further, the definition of Iθ-convergence in n-normed linear spaces and some related results are given.

Difference sequence spaces defined by a sequence of modulus functions

In the present paper we study difference sequence spaces defined by a sequence of modulus functions and examine some topological properties of these spaces.

Some classes of difference sequences of fuzzy numbers defined by a sequence of Moduli

In this article, we introduce and examine some properties of new difference sequence spaces of fuzzy numbers defined using a sequence of modulus functions.

SOME DIFFERENCE SEQUENCES DEFINED BY A SEQUENCE OF MODULUS FUNCTIONS

The idea of difference sequence spaces was introduced by Kizmaz [6], and this concept was generalized by Bektas and Colak [1]. In this paper, we define the sequence spaces and  , where F = (fk) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces.

Generalized Vector-Valued Sequence Spaces Defined by Modulus Functions

We introduce the vector-valued sequence spaces , , and , and , using a sequence of modulus functions and the multiplier sequence of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly -Cesaro summable with respect to the modulus function then it is -statistically convergent.

Some difference sequence spaces defined by a sequence of ϕ -functions

In this paper, we introduce new difference sequence spaces combining with de la Vallee-Poussin mean using by a sequence of modulus functions and ϕ -functions. We also studied connections between statistically convergence related with this space. Keywords Difference sequence, Modulus function, ϕ -function, De la Vallee-Poussin means, Statistical convergence Mathematics Subject Classification (2000) 46A45, 40F05, 46A80

Strong invariant A-summability with respect to a sequence of modulus functions in a seminormed space

AbstractThe object of this paper is to introduce some new strongly invariant