Results 1 to 10 of about 220,874 (298)

Algebraic Solution of Tropical Best Approximation Problems

Mathematics, 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   +5 more sources

Best Co-Approximation In Weighted Space [PDF]

مجلة 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   +2 more sources

Best approximation of functions in generalized Hölder class [PDF]

Journal 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

ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR [PDF]

Ural Mathematical Journal, 2015
In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their ...
Vitalii V. Arestov
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Fuzzy near best approximation as a generalization of fuzzy best approximation [PDF]

Journal of Mahani Mathematical Research
‎‎‎Given a fuzzy normed space, we will introduce the notion of fuzzy near best approximation as a generalization of the notion of fuzzy best approximation.
Ali Reza Khoddami, Rasoul Tourani
doaj   +3 more sources

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

Bulletin 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

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

Karpatsʹkì 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, V.S. Romanyuk, K.V. Pozharska, S.B. Hembars'ka   +3 more
doaj   +1 more source

New estimates related with the best polynomial approximation

Journal 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

Best Approximation in Cone-Normed Space [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2016
The question of whether cone metric spaces are real generalizations of metric spaces is proved, in the sense of Best Approximation, not to be affirmative.
Abdallah Hakawati, Sawsan Al-Dwaik
doaj   +1 more source

Continuity of best approximants [PDF]

Proceedings of the American Mathematical Society, 1981
Let C n {C_n}
Landers, D., Rogge, L.
openaire   +1 more source