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New Characterization for Nonlinear Weighted Best Simultaneous Approximation
International Journal of Mathematics and Mathematical Sciences, 2009 This paper is concerned with the problem of a wide class of weighted best simultaneous approximation in normed linear spaces, and it establishes a new characterization result for the class of approximation by virtue of the notion of simultaneous regular ...
Xianfa Luo, Delin Wu, Jinsu He
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On Best Simultaneous Approximation
Journal of Approximation Theory, 1997 Let \(X\) be a compact Hausdorff space, \(Y\) be a normed linear space, \(C(X, Y)\) be the vector space of continuous functions from \(X\) to \(Y\) and \(S\) be a subspace of \(C(X, Y).\) Suppose that \(C(X, Y)\) is normed with a given norm \(\| \cdot\| _A\) and that \(U\) is the unit ball of \((\mathbb R^n, \| \cdot\| _B).
Li, Chong, Watson, G.A
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Best simultaneous L1 approximations
Journal of Approximation Theory, 1978 AbstractThree possible definitions are proposed for best simultaneous L1 approximation to n continuous real-valued functions, and the relation between best simultaneous approximations and best L1 approximations to the arithmetic mean of the n functions is discussed.
Holland, A.S.B +3 more
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Adaptive initial step size selection for simultaneous perturbation stochastic approximation [PDF]
, 2016 A difficulty in using Simultaneous Perturbation Stochastics Approximation (SPSA) is its performance sensitivity to the step sizes chosen at the initial stage of the iteration. If the step size is too large, the solution estimate may fail to converge. The
Dhaene, Tom, Ito, Keiichi
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Simultaneous Frobenius–Padé approximants
Journal of Computational and Applied Mathematics, 2005 The authors consider simultaneous rational approximation with common denominator in the sense of the so called `German Polynomials' [cf. \textit{K. Mahler}, Perfect Systems, Comp. Math. 19, 95--166 (1968; Zbl 0168.31303)], constructed from formal power series \((f^1,\dots,f^d)\) in orthogonal polynomials \(\{P_k\}_{k\geq 0}\) with respect to a weight \(
Matos, Ana C., Van Iseghem, Jeannette
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Simultaneous proximinality in \(L^{\infty}(\mu,X)\)
Journal of Numerical Analysis and Approximation Theory, 2013 Let \(X\) be a Banach space and \(G\) be a closed subspace of \(X\). Let us denote by \(L^{\infty}\left( \mu,X\right) \) the Banach space of all \(X\)-valued essentially bounded functions on a \(\sigma\)-finite complete measure space \(\left( \Omega ...
Eyad Abu-Sirhan
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On the constrained mock-Chebyshev least-squares
, 2014 The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic.
De Marchi, Stefano +2 more
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Simultaneous approximation of modulus and values of Jacobi elliptic functions (in Ukrainian) [PDF]
Математичні Студії, 2013 Let $sn_i z$ be algebraically independent Jacobi ellipticfunctions, $(4K_i,2iK'_i)$ be main periods and $gk_1,, gk_2$be their moduli $sn_i z$ ($iin{1,2}$). We estimate from below thesimultaneous appro-xi-ma-tion $gk_1,, gk_2,,sn_1K_2,,sn_2i K'_1$.
Ya. M. Kholyavka
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Best Simultaneous Approximation in Orlicz Spaces
International Journal of Mathematics and Mathematical Sciences, 2007 Let X be a Banach space and let LΦ(I,X) denote the space of Orlicz X-valued integrable functions on the unit interval I equipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, where G is a closed subspace of X,
M. Khandaqji, Sh. Al-Sharif
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Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bögel Space
Mathematics, 2022 In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators.
Abdullah Alotaibi
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