DIFFERENCE SEQUENCE SPACE M(M,Ø,ÄMN,P) F OF FUZZY REAL NUMBERS

2008 ◽  
Vol 13 (4) ◽  
pp. 577-586 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Stuti Borgohain
Keyword(s):  
Sequence Space ◽  
Difference Sequence ◽  
Real Numbers ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
Fuzzy Real Numbers ◽  
The Difference

The difference sequence space m(M, ø, Äm n,p) F of fuzzy real numbers for both 1 ≤ p < 8 and 0 < p < 1, is introduced. Some properties of this sequence space like solidness, symmetricity, convergence-free are studied. Some inclusion relations involving this sequence space are obtained.

On a class of difference sequences related to the ℓp space defined by Orlicz functions

2007 ◽  
Vol 57 (2) ◽  
Author(s):  
Binod Tripathy ◽  
Sabita Mahanta
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Difference Sequence ◽  
Orlicz Functions ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
The Difference

AbstractIn this article we introduce the difference sequence space m(M, Δ, φ) using the Orlicz function. We study its different properties like solidity, completeness etc. Also we obtain some inclusion relations involving the space m(M, Δ, φ).

scholarly journals NEW GENERALIZED CIESARO SPACE WITH SOME TOPOLOGICAL PROPERTIES

2021 ◽  
pp. 253-262
Author(s):  
Rayees Ahmad
Keyword(s):  
Sequence Space ◽  
Subject Classification ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Space

The sequence space introduced by M. Et and have studied its various properties. The aim of the present paper is to introduce the new pranormed generalized difference sequence space. and , We give some topological properties and inclusion relations on these spaces. 2010 AMS Mathematical Subject Classification: 46A45; 40C05.

On the space of p -summable difference sequences of order m , (1 ≦ p < ∞)

2006 ◽  
Vol 43 (4) ◽  
pp. 387-402 ◽  
Author(s):  
Bilâl Altay
Keyword(s):  
Sequence Space ◽  
Difference Sequence ◽  
Order Difference ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
The Matrix ◽  
The Difference ◽  
Matrix Mappings ◽  
Difference Sequence Spaces

The difference sequence spaces ℓ ∞ (Δ), c (Δ) and c0 (Δ) were studied by  Kizmaz [8]. The difference sequence space bvp , generated from the space ℓ p , has recently been introduced by Başar and Altay [5]. Several papers deal with the sets of sequences whose mth order difference are bounded, convergent or convergent to zero. The main purpose of the present paper is to introduce the space ℓ p (Δ (m) ) consisting of all sequences whose mth order differences are p -absolutely summable, and is to fill up the gap in the existing literature. Moreover, we give some topological properties and inclusion relations, a Schauder basis and determine the α-, β-, γ- and f- duals of the space ℓ p (Δ (m) ). The last section of the paper has been devoted to the characterization of the matrix mappings on the sequence space ℓ p (Δ (m) ).

SOME DIFFERENCE SEQUENCE SPACES GENERATED BY DE LA VALLÉE-POUSSIN MEAN

2013 ◽  
Vol 06 (02) ◽  
pp. 1350018
Author(s):  
P. D. Srivastava ◽  
Atanu Manna
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Modular Structure ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
De La Vallée Poussin ◽  
Difference Sequence Spaces

A difference sequence space using φ-function and involving the concept of de la Vallée-Poussin mean is introduced. Inclusion relations, structural and topological properties of this space are investigated. By introducing a modular structure, the equality of the countably and uniformly countably modulared spaces is obtained.

Generalized difference sequence space defined by |$$ \bar N $$, p k| summability and an Orlicz function in seminormed space

2010 ◽  
Vol 60 (2) ◽  
Author(s):  
Vinod Bhardwaj ◽  
Indu Bala
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
Seminormed Space ◽  
Complex Linear ◽  
Appl Math

AbstractThe object of this paper is to introduce a new difference sequence space which arise from the notions of |$$ \bar N $$, p k| summability and an Orlicz function in seminormed complex linear space. Various algebraic and topological properties and certain inclusion relations involving this space have been discussed. This study generalizes results: [ALTIN, Y.—ET, M.—TRIPATHY, B. C.: The sequence space |$$ \bar N_p $$|(M, r, q, s) on seminormed spaces, Appl. Math. Comput. 154 (2004), 423–430], [BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$$ \bar N $$, p n| summability, Demonstratio Math. 32 (1999), 539–546] and [BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$$ \bar N $$, p n| summability and an Orlicz function, Indian J. Pure Appl. Math. 31 (2000), 319–325].

scholarly journals On Vector-Valued Generalized Lorentz Difference Sequence Space

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Birsen Sağır ◽  
Oğuz Oğur
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
Vector Valued ◽  
Difference Sequence Spaces

We introduce generalized Lorentz difference sequence spaces d(v,Δ,p). Also we study some topologic properties of this space and obtain some inclusion relations.

scholarly journals Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Stuti Borgohain
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Real Numbers ◽  
Inclusion Relations ◽  
Fuzzy Real Numbers ◽  
Difference Sequence Spaces

We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these sequence spaces.

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