Results 11 to 20 of about 320 (222)

The second dual spaces of the sets of Λ-strongly convergent and bounded sequences

International Journal of Mathematics and Mathematical Sciences, 2000
We give the second β-, γ-, and f-duals of the sets w0p(Λ), w∞p(Λ ...
A. M. Jarrah, E. Malkowsky
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Binomial difference sequence spaces of order m

Advances in Difference Equations, 2017
In this paper, we introduce the binomial sequence spaces b 0 r , s ( ∇ ( m ) ) $b^{r,s}_{0}(\nabla^{(m)})$ , b c r , s ( ∇ ( m ) ) $b^{r,s}_{c}(\nabla^{(m)})$ and b ∞ r , s ( ∇ ( m ) ) $b^{r,s}_{\infty}(\nabla^{(m)})$ by combining the binomial ...
Jian Meng, Meimei Song
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Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers

Abstract and Applied Analysis, 2011
Some properties of the fuzzy convergence and fuzzy boundedness of a sequence of fuzzy numbers were studied in Choi (1996). In this paper, we have consider, some important problems on these spaces and shown that these spaces are fuzzy complete module ...
M. Şengönül, Z. Zararsız
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On Some New Sequence Spaces and Their Duals [PDF]

Journal of Mathematics
In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and γ−duals of the newly created spaces.
Damla Barlak
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Review on Some Sequence Spaces of p-adic Numbers [PDF]

Eurasian Journal of Science and Engineering, 2017
In this paper, we make a literature review on p-adic sequences and we prove some new topological properties on the sequence spaces w(p), l∞(p) and c(p) of p-adic numbers as the set of all sequences, the set of bounded sequences and the set of convergent ...
Orhan Tuğ, Mutlay Doğan
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The binomial sequence spaces of nonabsolute type [PDF]

Journal of Inequalities and Applications, 2016
In this paper, we introduce the binomial sequence spaces b 0 r , s $b^{r,s}_{0}$ and b c r , s $b^{r,s}_{c}$ of nonabsolute type which include the spaces c 0 $c_{0}$ and c, respectively.
Mustafa Cemil Bişgin
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The binomial sequence spaces which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell_{\infty}$ and geometric properties [PDF]

Journal of Inequalities and Applications, 2016
In this work, we introduce the binomial sequence spaces b p r , s $b^{r,s}_{p}$ and b ∞ r , s $b^{r,s}_{\infty}$ which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell _{\infty}$ , in turn. Moreover, we show that the spaces b p r , s $b^{r,s}_{p}$ and b ∞
Mustafa Cemil Bişgin
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Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions

Journal of Mathematics
In this paper, we introduce new Fibonacci-type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p=pk is an arbitrary bounded sequence of positive real numbers.
Sunil K. Sharma, Ravi Kumar, Faruk Özger, Merve Ersoy   +3 more
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Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series [PDF]

Journal of Function Spaces, 2015
The main purpose of this study is to introduce the spaces csλ, cs0λ, and bsλ which are BK-spaces of nonabsolute type. We prove that these spaces are linearly isomorphic to the spaces cs, cs0, and bs, respectively, and derive some inclusion relations ...
Meltem Kaya, Hasan Furkan
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On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal

Journal of Function Spaces, 2022
In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v,k=0,1,2,⋯, where l=lk is a sequence of Leonardo numbers.
Taja Yaying, Bipan Hazarika, O. M. Kalthum S. K. Mohamed, Awad A. Bakery   +3 more
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