AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best generalized polynomial approximation from the space Lp(Ω) to the space Lp−1(Ω), 1<p<∞, as the unique operator preserving the property of continuity. The case p=1 is also considered
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
The aim of this work is to estimate the degree of best approximation for unbounded function...........
AbstractIn this paper we consider the problem of characterizing those situations under which the bes...
AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best gene...
AbstractFor a given nonatomic finite measure space (X, μ), best approximations of elements of Lp(X, ...
The best polynomial approximation operator was recently extended by one of the authors from Lp to Lp...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractFor a fixed dimensional subspace and a function ƒ, both contained in the intersection of a f...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
AbstractLet (S,Σ,μ) be a complete positive σ-finite measure space and let X be a Banach space. We ar...
AbstractWe discuss universal properties of some operators Ln:C[0,1]→C[0,1]. The operators considered...
AbstractWe present some operators for one-sided approximation of differentiable functions by algebra...
We introduce a notion of generalized approximation property, which we refer to as --AP possessed by ...
In this article we consider the best polynomial approximation operator, defined in an Orlicz space L...
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
The aim of this work is to estimate the degree of best approximation for unbounded function...........
AbstractIn this paper we consider the problem of characterizing those situations under which the bes...
AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best gene...
AbstractFor a given nonatomic finite measure space (X, μ), best approximations of elements of Lp(X, ...
The best polynomial approximation operator was recently extended by one of the authors from Lp to Lp...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractFor a fixed dimensional subspace and a function ƒ, both contained in the intersection of a f...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...
AbstractThe paper improves the characterization theorem of a best uniform approximation by a set of ...
AbstractLet (S,Σ,μ) be a complete positive σ-finite measure space and let X be a Banach space. We ar...
AbstractWe discuss universal properties of some operators Ln:C[0,1]→C[0,1]. The operators considered...
AbstractWe present some operators for one-sided approximation of differentiable functions by algebra...
We introduce a notion of generalized approximation property, which we refer to as --AP possessed by ...
In this article we consider the best polynomial approximation operator, defined in an Orlicz space L...
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
The aim of this work is to estimate the degree of best approximation for unbounded function...........
AbstractIn this paper we consider the problem of characterizing those situations under which the bes...
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