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Remarks on interpolation in certain linear spaces (III)
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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Remarks on interpolation in certain linear spaces (IV)
Journal of Numerical Analysis and Approximation Theory, 2007 In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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Approximate smoothness in normed linear spaces [PDF]
Banach Journal of Mathematical Analysis, 2021 We introduce the notion of approximate smoothness in a normed linear space. We characterize this property and show the connections between smoothness and approximate smoothness for some spaces.
Jacek Chmieli'nski, D. Khurana, D. Sain
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ON ROUGH $I^*$ AND $I^K$-CONVERGENCE OF SEQUENCES IN NORMED LINEAR SPACES [PDF]
Facta Universitatis Series Mathematics and Informatics, 2021 In this paper, we have introduced first the notion of rough $I^*$-convergence in a normed linear space as an extension work of rough $I$-convergence and then rough $I^K$-convergence in more general way.
A. Banerjee, Anirban Paul
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Sergey I. Repin, Stefan A. Sauter: “Accuracy of Mathematical Models”
Jahresbericht Der Deutschen Mathematiker-vereinigung, 2020 The book by Repin and Sauter is an inspiring piece of work. The key question is centered around ‘How accurate is a mathematical model?’ by deriving model error estimates arising in different approaches for treating partial differential equations and ...
T. Wick
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On strict inclusion relations between approximation and interpolation spaces [PDF]
, 2011 We study strict inclusion relations between approximation and interpolation spaces.Comment: 13 pages, Submitted to a ...
Almira, J. M.
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Scientific Inquiry and Review, 2022 The current paper's goal is to introduce lacunary ∆-statistically convergent andlacunary ∆-statistically Cauchy sequences in neutrosophic n-normed linear spaces, examinethem and come to some significant conclusions about them.
J. Maduraiveeran +3 more
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ON I- CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES
Facta Universitatis Series Mathematics and Informatics, 2021 In this paper, we introduce the concepts of $\mathcal{I}$ and $\mathcal{I^{*}}-$convergence of sequences in gradual normed linear spaces. We study some basic properties and implication relations of the newly defined convergence concepts.
C. Choudhury, S. Debnath
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Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
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The norm of continuous linear operator between two fuzzy quasi-normed spaces
AIMS Mathematics, 2022 In this paper, firstly, we introduce the concepts of continuity and boundedness of linear operators between two fuzzy quasi-normed spaces with general continuous t-norms, prove the equivalence of them, and point out that the set of all continuous ...
Han Wang, Jianrong Wu
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