Results 1 to 10 of about 108,125 (249)
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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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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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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Uniqueness of Hahn-Banach extensions and unique best approximation. [PDF]
Transactions of the American Mathematical Society, 1960 Introduction. The Hahn-Banach theorem states that a linear functional defined on a subspace M of a normed linear space E has at least one extension (with the same norm) to the whole of E. We intend to investigate those subspaces M for which this extension is unique, that is, those subspaces M having property U: Each linear functional on M has a unique ...
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Researches in Mathematics, 2019 We investigate the problem of uniqueness of the best non-symmetrical $L_1$-approximant with a weight for continuous functions on metric compact set $Q$ with values in strictly convex partially ordered KB-space $X$ by subspaces of space $C(Q, X)$ of ...
M.Ye. Tkachenko, V.M. Traktynska
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Sensors, 2008 A simulation study to assess the potentiality of sea surface wind vector estimation based on the approximation of the forward model through Neural Networks and on the Bayesian theory of parameter estimation is presented.
Luca Pulvirenti +2 more
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