Results 21 to 30 of about 1,388,848 (321)

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

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

On the (non)existence of best low-rank approximations of generic IxJx2 arrays [PDF]

, 2015
Several conjectures and partial proofs have been formulated on the (non)existence of a best low-rank approximation of real-valued IxJx2 arrays. We analyze this problem using the Generalized Schur Decomposition and prove (non)existence of a best rank-R ...
Stegeman, Alwin
core   +3 more sources

Best approximation by diagonal compact operators [PDF]

, 2013
We study the existence and characterization properties of compact Hermitian operators C on a separable Hilbert space H such that ||C|| is less or equal than || C + D ||, for all D in D(K(H)). This property is equivalent to || C || = min{||C+D||: D in D(K(
Bottazzi, Tamara, Varela, Alejandro
core   +3 more sources

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

Nonlinear tensor product approximation of functions [PDF]

, 2014
We are interested in approximation of a multivariate function $f(x_1,\dots,x_d)$ by linear combinations of products $u^1(x_1)\cdots u^d(x_d)$ of univariate functions $u^i(x_i)$, $i=1,\dots,d$.
Bazarkhanov, D., Temlyakov, V.
core   +1 more source

Robust Localization of the Best Error with Finite Elements in the Reaction-Diffusion Norm [PDF]

, 2014
We consider the approximation in the reaction-diffusion norm with continuous finite elements and prove that the best error is equivalent to a sum of the local best errors on pairs of elements.
Tantardini, Francesca, Veeser, Andreas, Verf"urth, R"udiger   +2 more
core   +2 more sources

Best rank k approximation for binary forms [PDF]

, 2017
In the tensor space $\mathrm{Sym}^d {\mathbb R}^2$ of binary forms we study the best rank $k$ approximation problem. The critical points of the best rank $1$ approximation problem are the eigenvectors and it is known that they span a hyperplane. We prove
Ottaviani, Giorgio, Tocino, Alicia
core   +3 more sources

Approximating gradients with continuous piecewise polynomial functions [PDF]

, 2014
Motivated by conforming finite element methods for elliptic problems of second order, we analyze the approximation of the gradient of a target function by continuous piecewise polynomial functions over a simplicial mesh.
Veeser, Andreas
core   +2 more sources

Best approximation in Orlicz spaces

International Journal of Mathematics and Mathematical Sciences, 1991
Let X be a real Banach space and (Ω,μ) be a finite measure space and ϕ be a strictly icreasing convex continuous function on [0,∞) with ϕ(0)=0. The space Lϕ(μ,X) is the set of all measurable functions f with values in X such that ∫Ωϕ(‖c−1f(t)‖)dμ(t)0 ...
H. Al-Minawi, S. Ayesh
doaj   +1 more source