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.

scholarly journals On Some Classes of Double Difference Sequences of Interval Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Kuldip Raj ◽  
Abdullah Alotaibi
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Double Difference ◽  
Difference Sequence ◽  
Topological Properties ◽  
Interval Numbers ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Interval Valued ◽  
Difference Sequence Spaces

The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak-Orlicz functionM=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence spaces.

scholarly journals New Difference Sequence Spaces Defined by Musielak-Orlicz Function

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
M. Mursaleen ◽  
Sunil K. Sharma ◽  
S. A. Mohiuddine ◽  
A. Kılıçman
Keyword(s):  
Normed Space ◽  
Difference Operator ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

We introduce new sequence spaces by using Musielak-Orlicz function and a generalizedB∧ μ-difference operator onn-normed space. Some topological properties and inclusion relations are also examined.

scholarly journals Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Kuldip Raj ◽  
Abdullah Alotaibi
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Double Difference ◽  
Difference Sequence ◽  
Topological Properties ◽  
Orlicz Functions ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak-Orlicz functionℱ=(Fjk)and four-dimensional bounded-regular (shortly,RH-regular) matricesA=(anmjk). We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.

scholarly journals NEW TYPE OF DIFFERENCE SEQUENCE SPACES OF FUZZY REAL NUMBERS

2009 ◽  
Vol 14 (3) ◽  
pp. 391-397 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Achyutanada Baruah
Keyword(s):  
Difference Operator ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Real Numbers ◽  
Fuzzy Real Numbers ◽  
New Type ◽  
Difference Sequence Spaces

In this paper we introduce the natation difference operator Δrn(m ≥ 0, an integer) for studying properties of some sequence spaces. We define the sequence spaces l ∞ F (Δm), cF(Δm), cF o(Δm) and investigate their properties like solid‐ness, convergence free, symmetricity, completeness.

scholarly journals New Classes of Generalized Seminormed Difference Sequence Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
M. Mursaleen ◽  
A. Alotaibi ◽  
Sunil K. Sharma
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The purpose of this paper is to introduce new classes of generalized seminormed difference sequence spaces defined by a Musielak-Orlicz function. We also study some topological properties and prove some inclusion relations between resulting sequence spaces.

scholarly journals Strongly Almost Lacunary -Convergent Sequences

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Adem Kılıçman ◽  
Stuti Borgohain
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces ◽  
Convergent Sequences

We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.

scholarly journals On some spaces of Cesàro sequences of fuzzy numbers associated with λ-convergence and Orlicz function

2019 ◽  
Vol 11 (1) ◽  
pp. 156-171
Author(s):  
K. Raj ◽  
S. Pandoh
Keyword(s):  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Fuzzy Real Numbers ◽  
Sequences Of Fuzzy Numbers

Abstract In the present paper we shall introduce some generalized difference Cesàro sequence spaces of fuzzy real numbers defined by Musielak-Orlicz function and -convergence. We make an e ort to study some topological and algebraic properties of these sequence spaces. Furthermore, some inclusion relations between these sequence spaces are establish.

scholarly journals Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Sunil K. Sharma ◽  
Dina A. Abuzaid
Keyword(s):  
Statistical Convergence ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Normed Spaces ◽  
Lacunary Statistical Convergence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of order (α,β). We also examine some topological properties and prove inclusion relations between the resulting sequence spaces.

scholarly journals A note on multiordered fuzzy difference sequence spaces

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2867-2874
Author(s):  
Tanweer Jalal
Keyword(s):  
Difference Operator ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Real Numbers ◽  
Ideal Convergence ◽  
Fuzzy Real Numbers ◽  
Difference Sequence Spaces

In this paper we introduce some new multi ordered difference operator on sequence spaces of fuzzy real numbers by using ideal convergence and modulus function and study their some algebraic and topological properties.

Sign in / Sign up

Export Citation Format

Share Document