AbstractA generating basis and the dual cone of n-convex functions satisfying certain constraints are derived. As applications, the existence and characterization of a best Lp-approximation (1 ≤ p < ∞) from such subcones to a function in Lp are established. The relationship between a best L1-approximation and perfect splines is developed under certain conditions
Abstract. We prove that a convex function f 2 L p [1; 1], 0 < p < 1, can be approxi-mated by c...
AbstractIn this paper, we show that the strong conical hull intersection property (CHIP) completely ...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
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...
AbstractDuality relationships in finding a best approximation from a nonconvex cone in a normed line...
The problem considered in this paper is best Lp approximation with multiple constraints for 1 ⩽ p \u...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
AbstractA characterization of the best L1-approximation to a continuous function by classes of fixed...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
This is a study of best approximation with certain geometric constraints. Two major problem areas ar...
AbstractThe problem considered is that of characterizing the best approximation, to a given x in a H...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...
In the present paper, we propose a new approximation method in different function spaces. A specific...
Abstract. We prove that a convex function f 2 L p [1; 1], 0 < p < 1, can be approxi-mated by c...
AbstractIn this paper, we show that the strong conical hull intersection property (CHIP) completely ...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
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...
AbstractDuality relationships in finding a best approximation from a nonconvex cone in a normed line...
The problem considered in this paper is best Lp approximation with multiple constraints for 1 ⩽ p \u...
We consider here best approximation by n-convex functions. We first show that if f∈L1[0,1], then the...
AbstractA characterization of the best L1-approximation to a continuous function by classes of fixed...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
This is a study of best approximation with certain geometric constraints. Two major problem areas ar...
AbstractThe problem considered is that of characterizing the best approximation, to a given x in a H...
AbstractIn this paper we show that the best approximation of a convex function by convex algebraic p...
We show that the best Lp-approximant to continuous functions by n-convex functions is the limit of d...
In the present paper, we propose a new approximation method in different function spaces. A specific...
Abstract. We prove that a convex function f 2 L p [1; 1], 0 < p < 1, can be approxi-mated by c...
AbstractIn this paper, we show that the strong conical hull intersection property (CHIP) completely ...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
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