Results 31 to 40 of about 6,431,216 (308)

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

, 2017
The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent.
S. Jafarov
semanticscholar   +1 more source

Best N-Simultaneous Approximation in Lp(μ,X)

Journal of Function Spaces, 2017
Let X be a Banach space.
Tijani Pakhrou
doaj   +1 more source

Best Approximation Results in Various Frameworks

Axioms, 2019
We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained ...
Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri   +2 more
doaj   +1 more source

Best Simultaneous Approximation in Orlicz Spaces

International Journal of Mathematics and Mathematical Sciences, 2007
Let X be a Banach space and let LΦ(I,X) denote the space of Orlicz X-valued integrable functions on the unit interval I equipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, where G is a closed subspace of X,
M. Khandaqji, Sh. Al-Sharif
doaj   +1 more source

Best approximation in Chebyshev subspaces of L(l_{1}^{n},l_{1}^{n}) [PDF]

Opuscula Mathematica, 2009
Chebyshev subspaces of \(\mathcal{L}(l_1^n,l_1^n)\) are studied. A construction of a \(k\)-dimensional Chebyshev (not interpolating) subspace is given.
Joanna Kowynia
doaj   +1 more source

Best Approximation and Inverse Results for Neural Network Operators

Results in Mathematics
In the present paper we considered the problems of studying the best approximation order and inverse approximation theorems for families of neural network (NN) operators. Both the cases of classical and Kantorovich type NN operators have been considered.
Lucian Coroianu, D. Costarelli
semanticscholar   +1 more source

Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces [PDF]

, 2013
We model a problem motivated by road design as a feasibility problem. Projections onto theconstraint setsare obtained, and projectionmethodsfor solving the feasibility problem are studied. We present results of numerical experiments which demonstrate the
Heinz H. Bauschke, Valentin R. Koch
semanticscholar   +1 more source

Canonical Sets of Best L1-Approximation

Journal of Function Spaces and Applications, 2012
In mathematics, the term approximation usually means either interpolation on a point set or approximation with respect to a given distance. There is a concept, which joins the two approaches together, and this is the concept of characterization of the ...
Dimiter Dryanov, Petar Petrov
doaj   +1 more source

Best Copositive Approximation

Journal of Approximation Theory, 1993
Let \(M\) be an \(n\)-dimensional Chebyshev subspace of \(C[a,b]\). For \(f\in C[a,b]\) define \(M_ f\) as the set of functions \(p\in M\) such that \(p(x)f(x)\geq 0\) for all \(x\in [a,b]\). Best copositive approximation to \(f\) is the approximation by elements of \(M_ f\). The author develops a theory for best copositive approximation which is quite
openaire   +2 more sources

On Best Simultaneous Approximation

Journal of Approximation Theory, 1997
Let \(X\) be a compact Hausdorff space, \(Y\) be a normed linear space, \(C(X, Y)\) be the vector space of continuous functions from \(X\) to \(Y\) and \(S\) be a subspace of \(C(X, Y).\) Suppose that \(C(X, Y)\) is normed with a given norm \(\| \cdot\| _A\) and that \(U\) is the unit ball of \((\mathbb R^n, \| \cdot\| _B).
Li, Chong, Watson, G.A
openaire   +2 more sources