Results 11 to 20 of about 3,815,474 (195)

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   +3 more sources

Algorithms and error bounds for multivariate piecewise constant approximation [PDF]

, 2010
We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
core   +4 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   +1 more source

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

Characterization of Best Approximants from Convex Subsets and Level Sets in Normed Linear Spaces [PDF]

, 1999
Some new characterization of best approximants from convex subsets and level sets of convex mappings in normed linear spaces in terms of norm derivatives and sub-orthogonality in Birkhoff's sense are ...
Dragomir, Sever S
core   +6 more sources

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   +1 more source

NEGATIVE THEOREM FOR LP,0

Journal of Kufa for Mathematics and Computer, 2017
For a given nonnegative integer number n, we can find a monotone function f depending on n, defined on the interval I=[-1,1], and an absolute constant c>0, satisfying the following relationship: (2〖E_n (f ́ )〗_p)/(n+1)^3 ≤〖E_(n+1)^1 (f)〗_pâ ...
GHAZI ABDULLAH Madlol
doaj   +1 more source