AbstractIt is shown that there exist closed, convex sets in Rn for which the best p-norm approximations to a fixed element of Rn fail to converge as p → ∞. Furthermore, it is shown that even if the best approximations converge, they need not converge to the strict best uniform approximation
We define the property “E-cylindrical,” which relates to a subset of m certain directed cylinders. W...
AbstractSuppose K is a compact convex subset of Rn. If for every x∈Rn, the net of best lp-approximan...
AbstractLet X be a reflexive, strictly convex Banach space such that both X and X∗ have Fréchet diff...
AbstractIt is shown that there exist closed, convex sets in Rn for which the best p-norm approximati...
AbstractIn this paper we consider a problem of best approximation in ℓp, 1<p⩽∞. Let hp denote the be...
AbstractLet X = C[0, 1] and let b be the set of continuous convex functions on [0, 1]. If ƒ ϵ X, the...
AbstractSuppose K is a compact convex subset of Rn. If for every x∈Rn, the net of best lp-approximan...
Let X = C[0, 1] and let b be the set of continuous convex functions on [0, 1]. If ƒ ϵ X, then the se...
AbstractLet X = C[0, 1] and let b be the set of continuous convex functions on [0, 1]. If ƒ ϵ X, the...
AbstractIn approximating an arbitrary point of Rn from a fixed subspace, it is known that the net of...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
The notion of tubularity of a convex subset, K, of l∞ (n) was originally introduced to study the con...
The notion of tubularity of a convex subset, K, of l∞ (n) was originally introduced to study the con...
AbstractThe notion of tubularity of a convex subset, K, of l∞ (n) was originally introduced to study...
We define the property “E-cylindrical,” which relates to a subset of m certain directed cylinders. W...
AbstractSuppose K is a compact convex subset of Rn. If for every x∈Rn, the net of best lp-approximan...
AbstractLet X be a reflexive, strictly convex Banach space such that both X and X∗ have Fréchet diff...
AbstractIt is shown that there exist closed, convex sets in Rn for which the best p-norm approximati...
AbstractIn this paper we consider a problem of best approximation in ℓp, 1<p⩽∞. Let hp denote the be...
AbstractLet X = C[0, 1] and let b be the set of continuous convex functions on [0, 1]. If ƒ ϵ X, the...
AbstractSuppose K is a compact convex subset of Rn. If for every x∈Rn, the net of best lp-approximan...
Let X = C[0, 1] and let b be the set of continuous convex functions on [0, 1]. If ƒ ϵ X, then the se...
AbstractLet X = C[0, 1] and let b be the set of continuous convex functions on [0, 1]. If ƒ ϵ X, the...
AbstractIn approximating an arbitrary point of Rn from a fixed subspace, it is known that the net of...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
The notion of tubularity of a convex subset, K, of l∞ (n) was originally introduced to study the con...
The notion of tubularity of a convex subset, K, of l∞ (n) was originally introduced to study the con...
AbstractThe notion of tubularity of a convex subset, K, of l∞ (n) was originally introduced to study...
We define the property “E-cylindrical,” which relates to a subset of m certain directed cylinders. W...
AbstractSuppose K is a compact convex subset of Rn. If for every x∈Rn, the net of best lp-approximan...
AbstractLet X be a reflexive, strictly convex Banach space such that both X and X∗ have Fréchet diff...
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