Difference sequence spaces based on Lucas band matrix and modulus function

2021 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Kuldip Raj ◽  
Anu Choudhary
Keyword(s):  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Band Matrix ◽  
Difference Sequence Spaces

scholarly journals On some generalized difference sequences with respect to a modulus function

Filomat ◽  
2003 ◽  
pp. 23-33 ◽  
Author(s):  
Mikail Et ◽  
Yavuz Altin ◽  
Hifsi Altinok
Keyword(s):  
Banach Space ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The idea of difference sequence spaces was intro- duced by Kizmaz [9] and generalized by Et and Colak [6]. In this paper we introduce the sequence spaces [V, ?, f, p]0 (?r, E), [V, ?, f, p]1 (?r, E), [V, ?, f, p]? (?r, E) S? (?r, E) and S?0 (?r, E) where E is any Banach space, examine them and give various properties and inclusion relations on these spaces. We also show that the space S? (?r, E) may be represented as a [V, ?, f, p]1 (?r, E)space.

scholarly journals Some New Difference Sequence Spaces of Invariant Means Defined by Ideal and Modulus Function

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Sudhir Kumar ◽  
Vijay Kumar ◽  
S. S. Bhatia
Keyword(s):  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Ideal Convergence ◽  
Difference Sequences ◽  
Invariant Means ◽  
Difference Sequence Spaces

The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of SθσΔm(I)-convergence and obtain a condition under which this convergence coincides with above-mentioned 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.

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