Results 81 to 90 of about 9,771 (187)
How auditory processing influences the autistic profile: A review
Autism Research, Volume 17, Issue 12, Page 2452-2470, December 2024.Abstract We need to combine sensory data from various sources to make sense of the world around us. This sensory data helps us understand our surroundings, influencing our experiences and interactions within our everyday environments. Recent interest in sensory‐focused approaches to supporting autistic people has fixed on auditory processing—the sense ...
R. Poulsen +5 more
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On Some New Sequence Spaces and Their Duals
Journal of MathematicsIn 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
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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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Generalized concept of $J$-basis [PDF]
Sahand Communications in Mathematical Analysis, 2015 A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined.
Tofig Najafov
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Spaces of holomorphic mappings on Banach spaces with a Schauder basis [PDF]
Studia Mathematica, 1997 Let \(H(U,F)\) denote the space of all holomorphic mappings from a balanced open subset \(U\) of a Banach space \(E\) to a Banach space \(F\). The author proves that if \(E\) has a Schauder basis, then the Nachbin and bornological topologies coincide on \(H(U,F)\). The theorem is obtained via a refinement of a previous proof by \textit{S. Dineen} [Math.
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Milloux Inequality of E-Valued Meromorphic Function
The Scientific World Journal, 2014 The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis.
Zhaojun Wu, Zuxing Xuan
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Boundedness of Lebesgue Constants and Interpolating Faber Bases
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet +2 more
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On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces
Communications in Advanced Mathematical SciencesIn this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
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Examples of non-archimedean nuclear Frécheat spaces without a Schauder basis
Indagationes Mathematicae, 2000 This paper presents a solution of a long-standing problem in \(p\)-adic functional analysis. Let \(k\) be a non-archimedean, non-trivially valued field which is complete with respect to the metric induced by the valuation \(|\cdot |:K\to [0,\infty)\); let \(E\) be an infinite-dimensional Fréchet space of countable type, i.e., there is a countable set ...
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On paranormed sequence space arising from Riesz Euler Totient matrix
AIMS MathematicsIn this paper, we introduce a novel paranormed sequence space $ \mathit{l} ({R_{\Phi}}, p) $ constructed through the application of the Riesz Euler Totient matrix.
Pınar Zengin Alp
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