Results 1 to 10 of about 6,003 (105)
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
doaj +4 more sources
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
doaj +4 more sources
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
semanticscholar +1 more source
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
semanticscholar +2 more sources
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
semanticscholar +1 more source
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, Jian-Rong Wu
semanticscholar +1 more source
On the Norm Attainment Set of a Bounded Linear Operator and Semi-Inner-Products in Normed Spaces [PDF]
Indian journal of pure and applied mathematics, 2018 We obtain a complete characterization of the norm attainment set of a bounded linear operator between normed spaces, in terms of semi-inner-product(s) defined on the space. In particular, this answers an open question raised recently in [D.
D. Sain
semanticscholar +2 more sources
Linear and multilinear algebra, 2020 We introduce the notion of level numbers of a bounded linear operator between normed linear spaces, as a generalization of the singular values of an operator between inner product spaces.
D. Sain, Saikat Roy, Ryotaro Tanaka
semanticscholar +1 more source
A Study of Boundedness in Fuzzy Normed Linear Spaces
Symmetry, 2019 In the present paper some different types of boundedness in fuzzy normed linear spacesof type (X, N, ∗), where is an arbitrary t-norm, are considered.
T. Bînzar, F. Pater, Sorin Nǎdǎban
semanticscholar +1 more source
Bilinear Operators on Normed Linear Spaces
Formalized Mathematics, 2019 Summary The main aim of this article is proving properties of bilinear operators on normed linear spaces formalized by means of Mizar [1]. In the first two chapters, algebraic structures [3] of bilinear operators on linear spaces are discussed ...
Kazuhisa Nakasho
semanticscholar +1 more source