Results 11 to 20 of about 40,876 (272)
Canonical Sets of Best L1-Approximation [PDF]
Journal of Function Spaces and Applications, 2012 In mathematics, the term approximation usually means either interpolation on a point set or approximation with respect to a given distance. There is a concept, which joins the two approaches together, and this is the concept of characterization of the ...
Dimiter Dryanov, Petar Petrov
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Generalized Order and Best Approximation of Entire Function in ๐ฟ๐-Norm [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact ๐พ with respect to the set ฮฉ๐={๐งโ๐๐;exp๐๐พ(๐ง)โค๐}, where ๐๐พ=
Mohammed Harfaoui
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On a dual characterisation in best approximation problem
Journal of Numerical Analysis and Approximation Theory, 2008 We establish a dual characterization of solutions of Ky Fan best approximation problem and as consequence we obtain an existence criterium under conditions formulated for the weak topology.
Teodor Precupanu
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A characterization of best approximations with restricted ranges
Journal of Approximation Theory, 1992 Let \(A\) be a compact subset of \([a,b]\), \(a,b\in R\), containing at least \(n+1\) points and let \(C(A)\) be the Banach space of all real-valued continuous functions on \(A\), endowed with the sup-norm. Put \(K=\{q\in\Phi_ n: \ell(x)\leq q(x)\leq u(x),\;x\in[a,b]\}\), where \(\Phi_ n=\text{span}(\varphi_ 1,\varphi_ 2,\dots,\varphi_ n)\) is an \(n\)-
Xu, Shu-Sheng
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Characterization of Best Algebraic Approximation by an Algebraic Modulus of Smoothness
Journal of Approximation Theory, 1997 Denoting by \( x \oplus h \) the weighted addition given by \( x \oplus h = x \sqrt{1-h^2} + \sqrt{1-x^2}h, \forall x, h \in [-1, 1], \) the author considers the difference operator of \( r\) th order of the function \( f: [-1, 1] \rightarrow \mathbb{R}, \) defined by \( \Delta_h^r f = (\Delta_h\circ\ldots\circ\Delta_h)(f), \) (\(r \) times) where \( (\
Felten, Michael
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Extension of bounded linear functionals and best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2004 The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of a space with asymmetric norm, in terms of some linear functionals vanishing on \(Y\).
ล. Cobzaล, C. Mustฤลฃa
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Characterization for best nonlinear approximations: A geometrical interpretation
Journal of Approximation Theory, 1975 AbstractThe present paper deals with several characterization theorems for best approximation in normed vector spaces by nonlinear elements. Guided by the outstanding results of Singer in the linear theory, some results of Laurent and Brosowski are generalized so as to obtain a unified approach for the linear and nonlinear approximation theory ...
Dierieck, C
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IEEE Access, 2022 Tomato commercialization in Mexican and Latin-American markets is economically affected by three main physical aspects of the fruit: ripening time, size, and mass. Digital image processing combined with mathematical models and machine learning approaches
F. J. Bucio +5 more
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Axioms, 2022 ANNs succeed in several tasks for real scenarios due to their high learning abilities. This paper focuses on theoretical aspects of ANNs to enhance the capacity of implementing those modifications that make ANNs absorb the defining features of each ...
Julia Garcรญa Cabello
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
Advances in Difference Equations, 2009 We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of lp-maximal regularity—or well posedness—solely in terms of R ...
Airton Castro +2 more
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