Results 11 to 20 of about 1,388,848 (321)
Algebraic Solution of Tropical Best Approximation Problems [PDF]
We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
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Convergence of best best 𝐿_{∞}-approximations [PDF]
Let ( Ω , A , μ ) (\Omega , \mathcal {A}, \mu ) be a probability space and let { B i } i = 1 ∞
Abdallah M. Al-Rashed, R. B. Darst
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Best approximation of functions in generalized Hölder class [PDF]
Here, for the first time, error estimation of the functions g∈Hz(w) $g\in H_{z}^{(w)}$ and g˜∈Hz(w) $\tilde{g}\in H_{z}^{(w)}$ classes using TC1 $TC^{1}$ method of F. S. (Fourier Series) and C. F. S.
H. K. Nigam, Md. Hadish
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Counterexamples in best approximation [PDF]
Several counterexamples for approximation to continuous functions by polynomials are given. One example shows that the points of maximum deviation of a continuous real valued function on an interval from its polynomial of degree n n of best uniform approximation can lie on any monotone sequence contained in that interval for ...
S. J. Poreda
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Best Co-Approximation In Weighted Space [PDF]
In this paper, we present best co- approximation in weighted space. The results considered are these of existence of functions of best co- approximation, specifications of co-a proximal and specification co- Chebyshev subspaces.
Alaa Auad, Alaa Hussain
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Existence of invariant points and applications to simultaneous approximation [PDF]
For the set of e-simultaneous approximation and e-simultaneous coapproximation, we derive certain Brosowski-Meinardus type invariant point results in this paper.
Chandok Sumit, Narang T. D.
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Best Simultaneous Diophantine Approximations under a Constraint on the Denominator [PDF]
We investigate the problem of best simultaneous Diophantine approximation under a constraint on the denominator, as proposed by Jurkat. New lower estimates for optimal approximation constants are given in terms of critical determinants of suitable star ...
Iskander Aliev, Peter M. Gruber
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Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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Best comonotone approximation [PDF]
The authors have described a general theory of best comonotone approximation in \(C[a,b]\) by elements of an \(n\)-dimensional extended Chebyshev subspace. Two theorems on characterizations are studied which seem to be useful for the actual computation of best comonotone approximations.
Deutsch, Frank, Zhong, Jun
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New estimates related with the best polynomial approximation
In some old results, we find estimates the best approximation \(E_{n,p}(f)\) of a periodic function satisfying \(f^{(r)}\in\mathbb{L}^p_{2\pi}\) in terms of the norm of \(f^{(r)}\) (Favard inequality).
Jorge Bustamante
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