AbstractWe characterize best simultaneous approximation from convex sets, in terms of onesided Gateaux derivatives, using the ℓ1 and ℓ∞ vectorial norms, in a general setting and in L1. In L1, we give necessary and sufficient conditions for uniqueness. We show that p-type modulus of convexity implies order p-strong unicity of the best ℓ∞ simultaneous approximation
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractThis paper is concerned with characterization of best approximations and unique best approxi...
Polynomial approximation on convex polytopes in \mathbf{R}^d is considered in uniform and L^p-norms....
AbstractWe characterize best simultaneous approximation from convex sets, in terms of onesided Gatea...
In this paper we prove some results of best simultaneous approiximation and then we see an interest...
In this exposition, we investigate in an extended framework the problem of simultaneous best approxi...
We study the behavior of the best simultaneous approximation to two functions from a convex set in L...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
AbstractBest local approximation in sign-monotone norm is discussed. It is shown that if ƒ ϵ Cn(I), ...
AbstractThe problem is considered of best approximation of finite number of functions simultaneously...
AbstractFor a general class of best simultaneous approximation problems, characterization and unique...
Let C[a, b] be the space of continuous functions on [a, b] endowed with the uniform norm llƒll ∞ = s...
AbstractAn n-convex function is one whose nth order divided differences are nonnegative. Thus a 1-co...
In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a ...
AbstractGiven a bounded function f defined on a convex subset of Rn, the two problems considered are...
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractThis paper is concerned with characterization of best approximations and unique best approxi...
Polynomial approximation on convex polytopes in \mathbf{R}^d is considered in uniform and L^p-norms....
AbstractWe characterize best simultaneous approximation from convex sets, in terms of onesided Gatea...
In this paper we prove some results of best simultaneous approiximation and then we see an interest...
In this exposition, we investigate in an extended framework the problem of simultaneous best approxi...
We study the behavior of the best simultaneous approximation to two functions from a convex set in L...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
AbstractBest local approximation in sign-monotone norm is discussed. It is shown that if ƒ ϵ Cn(I), ...
AbstractThe problem is considered of best approximation of finite number of functions simultaneously...
AbstractFor a general class of best simultaneous approximation problems, characterization and unique...
Let C[a, b] be the space of continuous functions on [a, b] endowed with the uniform norm llƒll ∞ = s...
AbstractAn n-convex function is one whose nth order divided differences are nonnegative. Thus a 1-co...
In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a ...
AbstractGiven a bounded function f defined on a convex subset of Rn, the two problems considered are...
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractThis paper is concerned with characterization of best approximations and unique best approxi...
Polynomial approximation on convex polytopes in \mathbf{R}^d is considered in uniform and L^p-norms....
DOI
Add to ORKG