AbstractFor a given nonatomic finite measure space (X, μ), best approximations of elements of Lp(X, μ) from a linear subspace are characterized, using a peak norm. Uniqueness and strong uniqueness results are given for p > 1, as well as conditions for the local Lipschitz continuity of the best approximation operator
AbstractWhen G is a finite dimensional Haar subspace of C(X,Rk), the vector-valued continuous functi...
AbstractIn this paper we prove that themetric projectionΠK,ponto a polyhedral subsetKof Rn, endowed ...
AbstractA historical account is given of the development of methods for solving approximation proble...
AbstractA family of norms ∥g∥(α), 0 < α < 1, which combine features of both the uniform and the L1 n...
AbstractMonotone approximation relative to peak norms is studied both on an interval and in the disc...
AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best gene...
AbstractLet V be a finite dimensional subspace of Lp, 1 < p < ∞. For f ϵ Lp/V, it is shown that the ...
AbstractThe properties of best nonlinear approximations with respect to a generalized integral norm ...
AbstractLet C[0, 1] be the space of all continuous functions defined on [0, 1] and U be an n dimensi...
AbstractIn this paper we consider the problem of characterizing those situations under which the bes...
AbstractLet 1 < r ⩽ p < ∞. Approximation theorems for positive contractions in L(Lp(m), Lr(n)) are p...
AbstractA strongly unique best approximation m in a finite-dimensional subspace M of a real normed l...
A variational characterization for the best approximation element from linear subspaces in normed li...
AbstractFor a fixed dimensional subspace and a function ƒ, both contained in the intersection of a f...
AbstractBest local approximation in sign-monotone norm is discussed. It is shown that if ƒ ϵ Cn(I), ...
AbstractWhen G is a finite dimensional Haar subspace of C(X,Rk), the vector-valued continuous functi...
AbstractIn this paper we prove that themetric projectionΠK,ponto a polyhedral subsetKof Rn, endowed ...
AbstractA historical account is given of the development of methods for solving approximation proble...
AbstractA family of norms ∥g∥(α), 0 < α < 1, which combine features of both the uniform and the L1 n...
AbstractMonotone approximation relative to peak norms is studied both on an interval and in the disc...
AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best gene...
AbstractLet V be a finite dimensional subspace of Lp, 1 < p < ∞. For f ϵ Lp/V, it is shown that the ...
AbstractThe properties of best nonlinear approximations with respect to a generalized integral norm ...
AbstractLet C[0, 1] be the space of all continuous functions defined on [0, 1] and U be an n dimensi...
AbstractIn this paper we consider the problem of characterizing those situations under which the bes...
AbstractLet 1 < r ⩽ p < ∞. Approximation theorems for positive contractions in L(Lp(m), Lr(n)) are p...
AbstractA strongly unique best approximation m in a finite-dimensional subspace M of a real normed l...
A variational characterization for the best approximation element from linear subspaces in normed li...
AbstractFor a fixed dimensional subspace and a function ƒ, both contained in the intersection of a f...
AbstractBest local approximation in sign-monotone norm is discussed. It is shown that if ƒ ϵ Cn(I), ...
AbstractWhen G is a finite dimensional Haar subspace of C(X,Rk), the vector-valued continuous functi...
AbstractIn this paper we prove that themetric projectionΠK,ponto a polyhedral subsetKof Rn, endowed ...
AbstractA historical account is given of the development of methods for solving approximation proble...
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