AbstractWe obtain estimates for Christoffel functions and orthogonal polynomials for even weights W:R→[0,∞) that are ‘close’ to indeterminate weights. Our main example is exp-xlogxβ, with β real, possibly modified near 0, but our results also apply to exp-xαlogxβ,α<1. These types of weights exhibit interesting properties largely because they are either indeterminate or are close to the border between determinacy and indeterminacy in the classical moment problem
AbstractEstimates for orthogonal polynomials associated with exp(−xm), x real, m even, are dealt wit...
AbstractThe complete extension of the Christoffel type functions to the m-orthogonal polynomials is ...
We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, wit...
AbstractWe obtain estimates for Christoffel functions and orthogonal polynomials for even weights W:...
AbstractLet Wα(x)≔ exp(−|x|α), x ∈ R, α > 0. For α ≤ 1, we obtain upper and lower bounds for the Chr...
AbstractThe Christoffel functions for orthogonal polynomials are extended to the case of Lm extremal...
AbstractThis paper gives upper and lower bounds of the Christoffel-type functions λjn(Wm,m;x),j=m-2,...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractLet W(x) = exp(− Q(x)) be a weight on the real line, with Q satisfying conditions typicaily ...
AbstractWe study generalized Jacobi weight functions in terms of their (generalized) degree. We obta...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractUpper and lower bounds are found for the generalized Christoffel functions λn,p(dμ; x) (0 < ...
AbstractUpper and lower bounds for generalized Christoffel functions, called Freud-Christoffel funct...
AbstractLet wQ(x) = exp(−Q(x)) be a weight function and {Pn} the system of polynomials orthonormal w...
AbstractAsymptotic estimations of the Christoffel type functions for Lm extremal polynomials with an...
AbstractEstimates for orthogonal polynomials associated with exp(−xm), x real, m even, are dealt wit...
AbstractThe complete extension of the Christoffel type functions to the m-orthogonal polynomials is ...
We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, wit...
AbstractWe obtain estimates for Christoffel functions and orthogonal polynomials for even weights W:...
AbstractLet Wα(x)≔ exp(−|x|α), x ∈ R, α > 0. For α ≤ 1, we obtain upper and lower bounds for the Chr...
AbstractThe Christoffel functions for orthogonal polynomials are extended to the case of Lm extremal...
AbstractThis paper gives upper and lower bounds of the Christoffel-type functions λjn(Wm,m;x),j=m-2,...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractLet W(x) = exp(− Q(x)) be a weight on the real line, with Q satisfying conditions typicaily ...
AbstractWe study generalized Jacobi weight functions in terms of their (generalized) degree. We obta...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractUpper and lower bounds are found for the generalized Christoffel functions λn,p(dμ; x) (0 < ...
AbstractUpper and lower bounds for generalized Christoffel functions, called Freud-Christoffel funct...
AbstractLet wQ(x) = exp(−Q(x)) be a weight function and {Pn} the system of polynomials orthonormal w...
AbstractAsymptotic estimations of the Christoffel type functions for Lm extremal polynomials with an...
AbstractEstimates for orthogonal polynomials associated with exp(−xm), x real, m even, are dealt wit...
AbstractThe complete extension of the Christoffel type functions to the m-orthogonal polynomials is ...
We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, wit...