Results 21 to 30 of about 239 (199)
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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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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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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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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Mappings Ideal of Type the Domain of Generalized p,q-Euler Matrix in c0 and c
Journal of Mathematics, 2023 We develop new Banach sequence spaces e0a,bp,q and eca,bp,q derived by the domain of generalized p,q-Euler matrix Ea,bp,q in the spaces of null and convergent sequences, respectively.
Taja Yaying +4 more
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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 +3 more
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On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
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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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The binomial sequence spaces of nonabsolute type
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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On paranormed Ideal convergent sequence spaces defined by Jordan totient function
Journal of Inequalities and Applications, 2021 The study of sequence spaces and summability theory has been an important aspect in defining new notions of convergence for the sequences that do not converge in the usual sense.
Vakeel A. Khan, Umme Tuba
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