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Stability of a quintic functional equation in matrix paranormed spaces
上海师范大学学报. 自然科学版, 2019 The main goal of this paper is to prove the Hyers-Ulam stability of the quintic functional equation f(3x + y) -5f(2x + y) + f(2x -y) + 10f(x + y) -5f(x -y)=10f(y) + f(3x)-3f(2x) -27f(x) in matrix paranormed spaces.
WANG Zhihua
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Some Topological and Geometric Properties of Some New Spaces of λ‐Convergent and Bounded Series
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 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 +2 more
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On Some Properties of New Paranormed Sequence Space of Nonabsolute Type
Abstract and Applied Analysis, 2012 We introduce some new generalized sequence space related to the space ℓ(𝑝). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the
Vatan Karakaya, Necip Şimşek
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Double Sequence Spaces by Means of Orlicz Functions
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi +3 more
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A NEW PARANORMED SPACE DERIVED FROM THE JORDAN TOTIENT FUNCTION AND CHARACTERIZATIONS OF SOME MATRIX TRANSFORMATIONS [PDF]
Paranormed linear spaces have many important properties, since they appear as the generalizations of normed linear spaces. The most well-known paranormed linear P space among these spaces is ℓ(p) space of the sequences x=(x_{k}) satisfying ∑_{k=0 ...
Girgin Atlıhan, Özlem +1 more
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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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Some new paranormed difference sequence spaces and weighted core [PDF]
, 2012 In this study, we define new paranormed sequence spaces by combining a generalized weighted mean and a difference operator. Furthermore, we compute the α-,β- andγ- duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix
Demiriz, Serkan, Çakan, Celal
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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 paranormed sequence space arising from Riesz Euler Totient matrix [PDF]
In this paper, we introduce a novel paranormed sequence space l(R Phi, p) constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces l(R Phi, p) and l(p) are linearly isomorphic.
Alp, Pinar Zengin
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