Results 11 to 20 of about 1,388,848 (321)

Algebraic Solution of Tropical Best Approximation Problems [PDF]

open access: goldMathematics, 2023
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
doaj   +2 more sources

Convergence of best best 𝐿_{∞}-approximations [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1981
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
openalex   +2 more sources

Best approximation of functions in generalized Hölder class [PDF]

open access: yesJournal of Inequalities and Applications, 2018
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
doaj   +2 more sources

Counterexamples in best approximation [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1976
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
openalex   +3 more sources

Best Co-Approximation In Weighted Space [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2022
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
doaj   +1 more source

Existence of invariant points and applications to simultaneous approximation [PDF]

open access: yesBulletin of Natural Sciences Research, 2022
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.
doaj   +1 more source

Best Simultaneous Diophantine Approximations under a Constraint on the Denominator [PDF]

open access: green, 2005
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
openalex   +6 more sources

Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
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
doaj   +1 more source

Best comonotone approximation [PDF]

open access: yesTransactions of the American Mathematical Society, 1994
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
openaire   +1 more source

New estimates related with the best polynomial approximation

open access: yesJournal of Numerical Analysis and Approximation Theory, 2023
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
doaj   +1 more source

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