scholarly journals On some new sequence spaces of invariant means defined by Orlicz functions

2002 ◽  
pp. 271-281 ◽  
Author(s):  
Ekrem Savaş ◽  
B. E. Rhoades
Keyword(s):  
Sequence Spaces ◽  
Orlicz Functions ◽  
Invariant Means

scholarly journals Some generalized difference sequence spaces of invariant means defined by Orlicz functions

2005 ◽  
Vol 2005 (11) ◽  
pp. 1713-1722
Author(s):  
Ahmad H. A. Bataineh ◽  
Laith E. Azar
Keyword(s):  
Sequence Spaces ◽  
Difference Sequence ◽  
Orlicz Functions ◽  
Delta Sigma ◽  
Inclusion Relations ◽  
Invariant Means ◽  
Difference Sequence Spaces

We define the sequence spaces[wθ,M,p,u,Δ]σ,[wθ,M,p,u,Δ]σ0, and[wθ,M,p,u,Δ]σ∞which are defined by combining the concepts of Orlicz functions, invariant means, and lacunary convergence. We also study some inclusion relations and linearity properties of the above-mentioned spaces. These are generalizations of those defined and studied by Savaş and Rhoades in 2002 and some others before.

scholarly journals On some new modular sequence spaces

2013 ◽  
Vol 31 (2) ◽  
pp. 55 ◽  
Author(s):  
Cigdem Asma Bektas ◽  
Gülcan Atıci
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Orlicz Sequence Space ◽  
Orlicz Functions ◽  
Orlicz Sequence Spaces

Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space ℓM which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [9]. An important subspace of ℓ (M), which is an AK-space, is the space h (M) . We define the sequence spaces ℓM (m) and ℓ N(m), where M = (Mk) and N = (Nk) are sequences of Orlicz functions such that Mk and Nk be mutually  complementary for each k. We also examine some topological properties of these spaces. We give the α−, β− and γ− duals of the sequence space h (M) and α− duals of the squence spaces ℓ (M, λ) and ℓ (N, λ).

Some double sequence spaces defined by a sequence of Orlicz functions over n-normed spaces

2012 ◽  
Vol 33 (2) ◽  
pp. 183-190 ◽  
Author(s):  
Kuldip Raj ◽  
Ajay K. Sharma ◽  
Sunil K. Sharma ◽  
Sulinder Singh
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Normed Spaces ◽  
Orlicz Functions ◽  
Double Sequence Spaces
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