AbstractThe problem considered is that of finding a best uniform approximation to a real function f ∈ C[a, b] from the class of piecewise monotone functions. The existence, characterization, and nonuniqueness of best approximations are established
AbstractWe consider 3-monotone approximation by piecewise polynomials with prescribed knots. A gener...
AbstractThe previously developed unified theory of constrained uniform approximation from a finite d...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
AbstractThe problem considered is that of finding a best uniform approximation to a real function f ...
AbstractLet Q denote the Banach space (sup norm) of quasi-continuous functions defined on the interv...
AbstractIt is the purpose of this paper to present a method for the computation of best uniform appr...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractBest local approximation in sign-monotone norm is discussed. It is shown that if ƒ ϵ Cn(I), ...
AbstractLet Π be a collection of subsets of a compact set S in a normed linear space and K be all co...
AbstractIn this article a problem of approximation from nonconvex sets is considered. Let Lp, 1 ⩽ p ...
Let C[a, b] be the space of continuous functions on [a, b] endowed with the uniform norm llƒll ∞ = s...
AbstractIn this paper we show that a best monotone ϕ-approximant g on the cube (-1,1)n to a continuo...
AbstractGiven an integer function f, the problem is to find its best uniform approximation from a se...
AbstractWe consider 3-monotone approximation by piecewise polynomials with prescribed knots. A gener...
AbstractThe previously developed unified theory of constrained uniform approximation from a finite d...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
AbstractThe problem considered is that of finding a best uniform approximation to a real function f ...
AbstractLet Q denote the Banach space (sup norm) of quasi-continuous functions defined on the interv...
AbstractIt is the purpose of this paper to present a method for the computation of best uniform appr...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractBest local approximation in sign-monotone norm is discussed. It is shown that if ƒ ϵ Cn(I), ...
AbstractLet Π be a collection of subsets of a compact set S in a normed linear space and K be all co...
AbstractIn this article a problem of approximation from nonconvex sets is considered. Let Lp, 1 ⩽ p ...
Let C[a, b] be the space of continuous functions on [a, b] endowed with the uniform norm llƒll ∞ = s...
AbstractIn this paper we show that a best monotone ϕ-approximant g on the cube (-1,1)n to a continuo...
AbstractGiven an integer function f, the problem is to find its best uniform approximation from a se...
AbstractWe consider 3-monotone approximation by piecewise polynomials with prescribed knots. A gener...
AbstractThe previously developed unified theory of constrained uniform approximation from a finite d...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
DOI
Add to ORKG