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On generalized sequence spaces via modulus function

On generalized sequence spaces via modulus function

... Abstract In this paper, we introduce and study the concept of lacunary strongly A, Ο• -convergence with respect to a modulus function and lacunary A, Ο• -statistical convergence and examin[r] ... See full document

8

GENERALIZED DOUBLE SEQUENCE SPACE DERIVED BY USING SUMMABILITY MATRIX AND DOUBLE SEQUENCE OF MODULUS FUNCTIONS OVER n NORMED SPACES

GENERALIZED DOUBLE SEQUENCE SPACE DERIVED BY USING SUMMABILITY MATRIX AND DOUBLE SEQUENCE OF MODULUS FUNCTIONS OVER n NORMED SPACES

... double sequence we mean the convergence in Pringsheim sense ...double sequence π‘₯ = (π‘₯ π‘˜π‘™ ) has Pringsheim limit L (denoted by P-limit x= L) provided that given πœ– > 0 π‘‘π‘•π‘’π‘Ÿπ‘’ 𝑒π‘₯𝑖𝑠𝑑𝑠 𝑛 ∈ β„•, 𝑠𝑒𝑐𝑕 π‘‘π‘•π‘Žπ‘‘ π‘₯ π‘˜π‘™ βˆ’ ... See full document

14

Generalized lacunary Ξ”m statistically convergent sequences of fuzzy numbers using a modulus function

Generalized lacunary Ξ”m statistically convergent sequences of fuzzy numbers using a modulus function

... topological spaces, similarity relations and fuzzy orderings, fuzzy mathematical programming ...of sequence spaces of fuzzy numbers have been constructed by several authors such as Matloka [], Nanda ... See full document

13

MATRIX TRANSFORMATIONS BETWEEN GENERALIZED WEIGHTED CESARO SEQUENCE SPACES

MATRIX TRANSFORMATIONS BETWEEN GENERALIZED WEIGHTED CESARO SEQUENCE SPACES

... additive function 𝑝: 𝑋 β†’ ℝ such that 𝑝 πœƒ = 0, 𝑝 βˆ’π‘₯ = 𝑝(π‘₯) and scalar multiplication is continuous , that is 𝛼 𝑛 βˆ’ 𝛼 β†’ 0, π‘Žπ‘›π‘‘ 𝑝 π‘₯ 𝑛 βˆ’ π‘₯ β†’ 0 π‘–π‘šπ‘π‘™π‘¦ 𝑝 𝛼 𝑛 π‘₯ 𝑛 βˆ’ 𝛼π‘₯ β†’ 0, π‘Žπ‘  𝑛 β†’ ∞, for all 𝛼 ∈ ℝ, π‘Žπ‘›π‘‘ π‘₯ ∈ 𝑋, where πœƒ is ... See full document

12

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function

... new sequence spaces of fuzzy real numbers by using Orlicz function with the notion of generalized de la Vallèe Poussin mean, generalized difference sequences and ...new sequence ... See full document

10

Some vector-valued statistical convergent sequence spaces

Some vector-valued statistical convergent sequence spaces

... The modulus function may be bounded or un- ...the modulus f (x) is unbounded. Subsequently, modulus function has been discussed in ([1], [16], [19], [20], [23]) and many ... See full document

7

Generalized CΞ» Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space

Generalized CΞ» Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space

... Generalized CΞ»-Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space B.ÖzaltΔ±n, IΜ‡.. DagΜ†adurβˆ— Department of Mathematics, Faculty of Scienc[r] ... See full document

7

On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

... The concept of fuzzy sets and fuzzy set operations were first introduced by Zadeh [1]. And subsequently several authors have discussed the properties of fuzzy sets such as fuzzy topological spaces, similarity ... See full document

6

On certain generalized paranormed spaces

On certain generalized paranormed spaces

... KΔ±lΔ±Γ§man, A, Borgohain, S: Some new classes of generalized difference strongly summable n-normed sequence spaces defined by ideal convergence and Orlicz function.. KΔ±lΔ±Γ§man, A, Borgohain, [r] ... See full document

12

I- convergent sequence spaces of fuzzy real numbers defined by sequence of modulus functions

I- convergent sequence spaces of fuzzy real numbers defined by sequence of modulus functions

... The notion of fuzzy sets was introduced by Zadeh [16]. After that many authors have studied and generalized this notion in many ways, due to the potential of the introduced notion. Also it has wide range of ... See full document

12

On some new sequence spaces defined by infinite matrix and modulus

On some new sequence spaces defined by infinite matrix and modulus

... FK Spaces in which the sequence of coordinate vectors in ...IJ: Sequence spaces defined by a ...some generalized sequence ... See full document

9

Generalized Vector Valued Sequence Spaces Defined by Modulus Functions

Generalized Vector Valued Sequence Spaces Defined by Modulus Functions

... 8 B. C. Tripathy and S. Mahanta, β€œOn a class of vector-valued sequences associated with multiplier sequences,” Acta Mathematicae Applicatae Sinica. English Series, vol. 20, no. 3, pp. 487–494, 2004. 9 H. Nakano, β€œConcave ... See full document

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On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function

On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function

... X-valued sequence spaces throughout the paper, where X, q is a seminormed space, seminormed by ...these spaces represent the w, c, c 0 , c, c 0 , l ∞ , m, m 0 which are the spaces of ... See full document

13

Generalized Οƒ-convergent difference sequence spaces defined by Orlicz function

Generalized Οƒ-convergent difference sequence spaces defined by Orlicz function

... On certain class of sequence spaces of invariant mean defined by Orlicz function.. DIFFERENCE SEQUENCE SPACES OF INVARIANT MEAN DEFINED BY ORLICZ FUNCTION.[r] ... See full document

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A new generalized vector-valued paranormed sequence space using modulus function

A new generalized vector-valued paranormed sequence space using modulus function

... Colak, On some generalized difference sequence spaces, Soochow J.. Kizmaz, On certain sequence spaces, Can.[r] ... See full document

9

Generalized difference sequence spaces associated with a multiplier sequence on a real n normed space

Generalized difference sequence spaces associated with a multiplier sequence on a real n normed space

... Spaces of strongly summable sequences were studied by Kuttner [], Maddox [] and others. The class of sequences that are strongly Cesaro summable with respect to a mod- ulus was introduced by Maddox [] as an ... See full document

12

The Distance Modulus in Dark Energy and Cardassian Cosmologies via the Hypergeometric Function

The Distance Modulus in Dark Energy and Cardassian Cosmologies via the Hypergeometric Function

... hypergeometric function. The astronomical samples of the distance modulus for Supernova (SN) of type Ia allows the derivation of the involved cosmological in the case of constant eq- uation of state, ... See full document

16

Generalized I Convergent Difference Double Sequence Spaces Defined By A Moduli Sequence

Generalized I Convergent Difference Double Sequence Spaces Defined By A Moduli Sequence

... Volume 2, Issue 9, September– 2017 International Journal of Innovative Science and Research Technology ISSN No 2456 – 2165 IJISRT17SP28 www ijisrt com 116 Generalized I Convergent Difference Double Se[.] ... See full document

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Generalized closed sets via neutrosophic topological spaces

Generalized closed sets via neutrosophic topological spaces

... Floretin Smarandache [5] introduced the concept of Neu- trosophic set. Neutrosophic set is classified into three indepen- dent functions namely, membership function, indeterminancy function and non ... See full document

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Soft Generalized Topological spaces via Soft Hereditary

Soft Generalized Topological spaces via Soft Hereditary

... of generalized topology was investigated by Csaszar and also modified generalized topology via ...Soft Generalized Topological Space (SGTS) and studied soft ΞΌ-compactness in ...-regular ... See full document

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