scholarly journals Application of geometric calculus in numerical analysis and difference sequence spaces

2017 ◽  
Vol 449 (2) ◽  
pp. 1265-1285 ◽  
Author(s):  
Khirod Boruah ◽  
Bipan Hazarika
Keyword(s):  
Numerical Analysis ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Geometric Calculus ◽  
Difference 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 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.

On some new generalized difference sequence spaces defined by a sequence of moduli

2011 ◽  
Vol 61 (5) ◽  
Author(s):  
Gülcan Atici ◽  
Çiĝdem Bektaş
Keyword(s):  
Sequence Spaces ◽  
Difference Sequence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

AbstractIn this paper, we define the new generalized difference sequence spaces [V, λ, F, p, q]0(Δvm), [V, λ, F, p, q]1(Δvm) and [V, λ, F, p, q]∞(Δvm). We also study some inclusion relations between these spaces.

scholarly journals Generalized rough lacunary statistical triple difference sequence spaces in probability of fractional order defined by Musielak-Orlicz functionGeneralized rough lacunary statistical triple difference sequence spaces in probability of fractional order defined by Musielak-Orlicz function

2017 ◽  
Vol 37 (1) ◽  
pp. 55-62
Author(s):  
Shyamal Debnath ◽  
N. Subramanian
Keyword(s):  
Fractional Order ◽  
Orlicz Function ◽  
Lacunary Sequence ◽  
Sequence Spaces ◽  
Arbitrary Sequence ◽  
Difference Sequence ◽  
Positive Real ◽  
Topological Structures ◽  
Triple Difference ◽  
Difference Sequence Spaces

We generalized the concepts in probability of rough lacunary statistical by introducing the diference operator of fractional order, where is a proper fraction and = (mnk ) is anyxed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related triple diference sequence spaces. The main focus of the present paper is to generalized rough lacunary statistical of triple diference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator :

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