Results 1 to 10 of about 117 (103)
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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On the Paranormed Nörlund Sequence Space of Nonabsolute Type [PDF]
Abstract and Applied Analysis, 2014 Maddox defined the space ℓ(p) of the sequences x=(xk) such that ∑k=0∞|xk ...
Medine Yeşilkayagil, Feyzi Başar
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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 Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function
Journal of Inequalities and Applications, 2009 We define generalized paranormed sequence spaces c¯(σ,M,p,q,s), c¯0(σ,M,p,q,s), m(σ,M,p,q,s), and m0(σ,M,p,q,s) defined over a seminormed sequence space (X,q).
Metin Başarir +1 more
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On 2 - normed space valued paranormed null sequence space
Bibechana, 2013 In this paper we introduce and study a new class c0 ( S, α‾ , u‾ , ||. , .|| ) of sequences with values in 2- normed space as a generalization of basic null sequence space c0. We investigate some conditions pertaining to the containment relations of the
Narayan Prasad Pahari
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Modeling Spheres in Some Paranormed Sequence Spaces
Mathematics, 2022 We introduce a new sequence space hA(p), which is not normable, in general, and show that it is a paranormed space. Here, A and p denote an infinite matrix and a sequence of positive numbers.
Vesna I. Veličković +2 more
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λ-Statistical Convergence in Paranormed Space
Abstract and Applied Analysis, 2013 The concept of λ-statistical convergence for sequences of real numbers was introduced in Mursaleen (2000). In this paper, we prove decomposition theorem for λ-statistical convergence.
Mohammed A. Alghamdi, Mohammad Mursaleen
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
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On generalized difference sequence spaces of fuzzy numbers - doi: 10.4025/actascitechnol.v35i1.15566
Acta Scientiarum: Technology, 2013 The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces cF(f,Λ,Δm,p), (f,Λ,Δm,p) and (f,Λ,Δm,p) of fuzzy numbers ...
Binod Chandra Tripathy, Shyamal Debnath
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Generalized Statistical Convergence of Double Sequences in Paranormed Spaces
International Journal of Analysis and Applications, 2019 We introduce the notion of (λ, µ)-statistical convergence of double sequences in a setting of paranormed space and prove that every convergent sequence is (λ, µ)-statistically convergent but not conversely by supporting an illustrative example.
Abdullah Alotaibi +2 more
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