Binomial difference sequence spaces of fractional order [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce the sequence spaces b0r,s(∇(α)) $b^{r,s}_{0}( \nabla^{(\alpha)})$, bcr,s(∇(α)) $b^{r,s}_{c}(\nabla^{(\alpha)})$, and b∞r,s(∇(α)) $b^{r,s}_{\infty }(\nabla^{(\alpha)})$.
Jian Meng, Liquan Mei
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On some binomial B ( m ) $B^{(m)}$ -difference sequence spaces [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce the binomial sequence spaces b 0 a , b ( B ( m ) ) $b^{a,b}_{0}(B^{(m)})$ , b c a , b ( B ( m ) ) $b^{a,b}_{c}(B^{(m)})$ and b ∞ a , b ( B ( m ) ) $b^{a,b}_{\infty}(B^{(m)})$ by combining the binomial transformation and ...
Jian Meng, Meimei Song
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Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces [PDF]
Journal of Inequalities and Applications, 2017 The aim of this paper is to introduce the normed binomial sequence spaces b p r , s ( ∇ ) $b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1 ≤ p ≤ ∞ $1\leq p\leq\infty$ .
Meimei Song, Jian Meng
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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]
Journal of Inequalities and Applications, 2018 The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
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A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]
PLoS ONEIn this article, we have constructed generalized q-difference Motzkin sequence spaces [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] by composing q-Motzkin matrix with generalized q-difference matrix in the spaces ...
Jun-Jie Quan +3 more
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A New Paranormed Sequence Space Defined by Regular Bell Matrix
Dera Natung Government College Research Journal, 2023 This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ− duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
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On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences [PDF]
Eurasian Journal of Science and Engineering, 2017 In this paper, we introduce a new sequence space bv(Nt) as the domain of Nörlund matrix Nt in the space of all sequences of bounded variation. Firstly, we give some topological properties and inclusion relations. Moreover, we determine the α-, β- and γ-
Orhan Tug
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On the New Generalized Hahn Sequence Space hdp
Abstract and Applied Analysis, 2022 In this article, we define the new generalized Hahn sequence space hdp, where d=dkk=1∞ is monotonically increasing sequence with dk≠0 for all k∈ℕ, and ...
Orhan Tuğ +3 more
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Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences
Eurasian Journal of Science and Engineering, 2021 In this paper, we define some new almost and strongly almost convergent double sequence spaces B ̃(C_f), B ̃(C_f0), B ̃[C_f] and B ̃[C_f0] derived by the domain of four-dimensional sequential band matrix B(r ̃,s ̃,t ̃,u ̃) in the spaces C_f, C_f0 , [C_f]
Orhan Tuğ
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The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra [PDF]
, 2016 This article investigates matrix convex sets and introduces their tracial analogs which we call contractively tracial convex sets. In both contexts completely positive (cp) maps play a central role: unital cp maps in the case of matrix convex sets and ...
Helton, J. William +2 more
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