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Simultaneous Diophantine approximation
Duke Mathematical Journal, 1946 The simplest problems of Diophantine approximation relate to the approximation of a single irrational number 0 by rational numbers pjq, and the principal question is how small we can make the error 0 — pjq in relation to q for infinitely many approximations. It is well known that this question can be answered almost completely in terms of the continued
Davenport, H., Mahler, K.
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Simultaneous Approximation on Affine Subspaces [PDF]
International Mathematics Research Notices, 2019 Abstract We solve the convergence case of the generalized Baker–Schmidt problem for simultaneous approximation on affine subspaces, under natural diophantine type conditions. In one of our theorems, we do not require monotonicity on the approximation function.
Jing-Jing Huang, Jason J Liu
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A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions
Mathematics, 2022 The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė +1 more
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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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Applications of sparse approximation in communications [PDF]
, 2005 Sparse approximation problems abound in many scientific, mathematical, and engineering applications. These problems are defined by two competing notions: we approximate a signal vector as a linear combination of elementary atoms and we require that the ...
Gilbert, A. C., Tropp, J. A.
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Simultaneous matchings: Hardness and approximation
Journal of Computer and System Sciences, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Kutz +3 more
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Parallel Magnetic Resonance Imaging as Approximation in a Reproducing Kernel Hilbert Space [PDF]
, 2014 In Magnetic Resonance Imaging (MRI) data samples are collected in the spatial frequency domain (k-space), typically by time-consuming line-by-line scanning on a Cartesian grid.
Athalye, Vivek +2 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 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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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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