AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a function in Lp(S), 1 ⩽ p ⩽ ∞, by an arbitrary subset of convex functions. An existence theorem for a best approximation is established under a certain condition on the subset. In particular, a best convex approximation exists. Also investigated are properties of norm-bounded subsets and Lp-convergent sequences of convex functions
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
AbstractIt is shown that there exist closed, convex sets in Rn for which the best p-norm approximati...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
AbstractIn this article a problem of approximation from nonconvex sets is considered. Let Lp, 1 ⩽ p ...
AbstractThe problem of finding a best Lp-approximation (1 ≤ p < ∞) to a function in Lp from a specia...
AbstractLet X be a reflexive, strictly convex Banach space such that both X and X∗ have Fréchet diff...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...
AbstractGiven a bounded function f defined on a convex subset of Rn, the two problems considered are...
TIB: RN 4020 (736) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbibliot...
AbstractThe problem of finding a best Lp-approximation (1 ≤ p < ∞) to a function in Lp from a specia...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
AbstractIt is shown that there exist closed, convex sets in Rn for which the best p-norm approximati...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
AbstractThe problem considered in this paper is best Lp approximation with multiple constraints for ...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
AbstractIn this article a problem of approximation from nonconvex sets is considered. Let Lp, 1 ⩽ p ...
AbstractThe problem of finding a best Lp-approximation (1 ≤ p < ∞) to a function in Lp from a specia...
AbstractLet X be a reflexive, strictly convex Banach space such that both X and X∗ have Fréchet diff...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...
AbstractGiven a bounded function f defined on a convex subset of Rn, the two problems considered are...
TIB: RN 4020 (736) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbibliot...
AbstractThe problem of finding a best Lp-approximation (1 ≤ p < ∞) to a function in Lp from a specia...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
AbstractIt is shown that there exist closed, convex sets in Rn for which the best p-norm approximati...
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