AbstractApproximation by weighted rationals of the form wnrn, where rn=pn/qn, pn and qn are polynomials of degree at most [αn] and [βn], respectively, and w is an admissible weight, is investigated on compact subsets of the real line for a general class of weights and given α⩾0, β⩾0, with α+β>0. Conditions that characterize the largest sets on which such approximation is possible are given. We apply the general theorems to Laguerre and Freud weights
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
In this paper we consider weighted polynomial approximation on unbounded multidimensional domains in...
AbstractGiven a triple (G, W, γ) of an open bounded set G in the complex plane, a weight function W(...
Approximation by weighted rationals of the form wnrn, where rn = pn qn, pn and qn are polynomials of...
AbstractApproximation by weighted rationals of the form wnrn, where rn=pn/qn, pn and qn are polynomi...
AbstractIt is shown that if weighted polynomialswnPnwith degPn⩽nconverge uniformly on the support of...
AbstractPolynomial approximation by weighted polynomials of the form wn(x)Pn(x) is investigated on c...
AbstractIt is proven that if xQ′(x) is increasing on (0,+∞) and w(x)=exp(−Q(x)) is the corresponding...
We formulate a necessary and sufficient condition for polynomials to be dense in a space of continuo...
AbstractWe characterize the set of functions which can be approximated by continuous functions in th...
AbstractPolynomial approximation by weighted polynomials of the form wn(x)Pn(x) is investigated on c...
AbstractThe class of functions that can be uniformly approximated by weighted polynomials of the for...
AbstractWe describe some approximation properties of polynomials of degree at most 2n withweight (1 ...
AbstractLet W(x) = exp(− Q(x)) be a weight on the real line, with Q satisfying conditions typicaily ...
AbstractThe rate of convergence of best approximation by algebraic polynomials in weighted Lp(R)-spa...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
In this paper we consider weighted polynomial approximation on unbounded multidimensional domains in...
AbstractGiven a triple (G, W, γ) of an open bounded set G in the complex plane, a weight function W(...
Approximation by weighted rationals of the form wnrn, where rn = pn qn, pn and qn are polynomials of...
AbstractApproximation by weighted rationals of the form wnrn, where rn=pn/qn, pn and qn are polynomi...
AbstractIt is shown that if weighted polynomialswnPnwith degPn⩽nconverge uniformly on the support of...
AbstractPolynomial approximation by weighted polynomials of the form wn(x)Pn(x) is investigated on c...
AbstractIt is proven that if xQ′(x) is increasing on (0,+∞) and w(x)=exp(−Q(x)) is the corresponding...
We formulate a necessary and sufficient condition for polynomials to be dense in a space of continuo...
AbstractWe characterize the set of functions which can be approximated by continuous functions in th...
AbstractPolynomial approximation by weighted polynomials of the form wn(x)Pn(x) is investigated on c...
AbstractThe class of functions that can be uniformly approximated by weighted polynomials of the for...
AbstractWe describe some approximation properties of polynomials of degree at most 2n withweight (1 ...
AbstractLet W(x) = exp(− Q(x)) be a weight on the real line, with Q satisfying conditions typicaily ...
AbstractThe rate of convergence of best approximation by algebraic polynomials in weighted Lp(R)-spa...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
In this paper we consider weighted polynomial approximation on unbounded multidimensional domains in...
AbstractGiven a triple (G, W, γ) of an open bounded set G in the complex plane, a weight function W(...
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