Add to ORKGThe problem considered in this paper is best Lp approximation with multiple constraints for 1 ⩽ p \u3c ∞. Characterizations of best Lp approximations from multiple n-convex splines and functions are established and the relationship between them is investigated. Applications to best monotone convex approximation are studied
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...
The problem considered in this paper is best Lp approximation with multiple constraints for 1 ⩽ p \u...
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractThe problem of finding a best Lp-approximation (1 ≤ p < ∞) to a function in Lp from a specia...
AbstractA generating basis and the dual cone of n-convex functions satisfying certain constraints ar...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
This is a study of best approximation with certain geometric constraints. Two major problem areas ar...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
AbstractIn this article a problem of approximation from nonconvex sets is considered. Let Lp, 1 ⩽ p ...
AbstractAn n-convex function is one whose nth order divided differences are nonnegative. Thus a 1-co...
AbstractGiven a monotone or convex function on a finite interval we construct splines of arbitrarily...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...
The problem considered in this paper is best Lp approximation with multiple constraints for 1 ⩽ p \u...
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractThe problem of finding a best Lp-approximation (1 ≤ p < ∞) to a function in Lp from a specia...
AbstractA generating basis and the dual cone of n-convex functions satisfying certain constraints ar...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
This is a study of best approximation with certain geometric constraints. Two major problem areas ar...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
AbstractIn this article a problem of approximation from nonconvex sets is considered. Let Lp, 1 ⩽ p ...
AbstractAn n-convex function is one whose nth order divided differences are nonnegative. Thus a 1-co...
AbstractGiven a monotone or convex function on a finite interval we construct splines of arbitrarily...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...