Results 41 to 50 of about 5,299,272 (110)
A survey on some paranormed sequence spaces
Filomat, 2017 This paper presents a survey of most of the known fundamental results involving the sequence spaces l(p), c0(p), c(p) and l?(p), w0(p), w(p) and w?(p), f0(p) and f (p). These spaces are generalizations of the classical BK spaces lp, c0, c and l?, the spaces wp 0, wp and wp?
Malkowsky, Eberhard, Başar, Feyzi
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Paranormed Riesz Difference Sequence Spaces of Fractional Order
Kragujevac Journal of Mathematics, 2022 Summary: In this article we introduce paranormed Riesz difference sequence spaces of fractional order \(\alpha\), \(r_0^t\left(p, \Delta^{(\alpha)}\right)\), \(r_c^t\left(p, \Delta^{(\alpha)}\right)\) and \(r_{\infty}^t\left(p, \Delta^{(\alpha)}\right)\) defined by the composition of fractional difference operator \(\Delta^{(\alpha)}\), defined by ...
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Exploring the Z‐Spaces of Double Sequences of Scalars: Z2‐Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduced and investigated the spaces Z2u,w;X of double sequences as natural extensions of the classical sequence spaces Zu,w;X. We characterized the β‐duals of these spaces and obtained explicit representations in terms of multiplier spaces and difference‐type conditions involving the operators Δkm+.
Cenap Duyar +2 more
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λ-Statistical Convergence in Paranormed Space [PDF]
, 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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Journal of Mathematics, Volume 2026, Issue 1, 2026.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. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix G(u, v) belong to ...
Sunil K. Sharma +4 more
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Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded‐Regular Matrices
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak‐Orlicz function ℱ = (Fjk) and four‐dimensional bounded‐regular (shortly, RH‐regular) matrices A = (anmjk). We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.
S. A. Mohiuddine +3 more
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On generalized difference lacunary statistical convergence in a paranormed space [PDF]
, 2013 In this article, we introduce the concept of -lacunary statistical convergence and -lacunary strong convergence in a paranormed space.
Selma Altundağ, Altundağ, Selma
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On Some New Sequence Spaces and Their Duals
Journal of Mathematics, Volume 2024, Issue 1, 2024.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, Ömer Kişi
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Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to give the sufficient conditions on the sequence space Ces(θ, p) defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear operators in Ces(θ, p) form an operator ideal.
Awad A. Bakery, Wenchang Sun
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.The Orlicz function‐defined sequence spaces of functions by relative uniform convergence of sequences related to p‐absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.
Diksha Debbarma +4 more
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