Results 11 to 20 of about 109,992 (270)
Researches in Mathematics, 2021 The article considers the questions of the uniqueness of the best non-symmetric $L_1$-approximations of continuous functions with values in $\mathbb{R}^m_p, p\in (1;+\infty )$ by elements of the two-dimensional subspace $H_2= \mathrm{span} \{1, g_{a,b}\}
M.Ye. Tkachenko, V.M. Traktynska
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Generalized proportional fractional integral Hermite–Hadamard’s inequalities
Advances in Difference Equations, 2021 The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi +5 more
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Researches in Mathematics, 2020 The questions of the uniqueness of the best non-symmetric $L_1$-approximant with weight in the finite dimensional subspace and the connection of such tasks with $A_{\alpha ,\beta }$-subspaces were considered in this article. This result generalizes the
M.Ye. Tkachenko, V.O. Traktynskyi
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Identifying the major reversals of the BIST-30 index by extreme outliers [PDF]
Journal of Capital Markets Studies, 2017 Purpose - The purpose of this paper is to show that major reversals of an index (specifically BIST-30 index) can be detected uniquely on the date of reversal by checking the extreme outliers in the rate of change series using daily closing prices. Design/
Ümit Erol
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Criteria of strong nearest-cross points and strong best approximation pairs
Applied General Topology, 2006 The concept of strong nearest-cross point (strong n.c. point) is introduced, which is the generalization of strong uniqueness of best approximation from a single point. The relation connecting to localization is discussed.
Wenxi Pan, Jingshi Xu
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FPTAS for Hardcore and Ising Models on Hypergraphs [PDF]
, 2015 Hardcore and Ising models are two most important families of two state spin systems in statistic physics. Partition function of spin systems is the center concept in statistic physics which connects microscopic particles and their interactions with their
Lu, Pinyan, Yang, Kuan, Zhang, Chihao
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On one consequence of the Chebyshev alternance [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe classical problem of the best approximation of a continuous function by a polynomial over a Chebyshev system of functions is considered. It is known that the solution of the problem is characterized by alternance.
Dudov, Sergei Ivanovitch +1 more
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Networks and the Best Approximation Property [PDF]
, 1989 Networks can be considered as approximation schemes. Multilayer networks of the backpropagation type can approximate arbitrarily well continuous functions (Cybenko, 1989; Funahashi, 1989; Stinchcombe and White, 1989).
Girosi, Federico, Poggio, Tomaso
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Multiarray Signal Processing: Tensor decomposition meets compressed sensing [PDF]
, 2009 We discuss how recently discovered techniques and tools from compressed sensing can be used in tensor decompositions, with a view towards modeling signals from multiple arrays of multiple sensors.
Comon, Pierre, Lim, Lek-Heng
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Non-uniqueness of rational best approximants
Journal of Computational and Applied Mathematics, 1999 Let \(V\) be a complement in the extended complex plane \(\widetilde \mathbb{C}\) of the closed unit disc, and let \(H^2(V)\) be the associated Hardy space with the norm \[ \|g\|=\lim_{r\to 1+} \left({1\over 2\pi} \int^{2\pi}_0 \bigl|g(re^{it}) \bigr|^2 dt\right)^{1/2}. \] \({\mathcal R}_{m,n}\) denotes the set of rational functions with numerators and
Baratchart, L. +2 more
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