Add to ORKGThe main purpose of this paper is to discuss behavior of multi-point Padé approximants of the Stieltjes transform of measures which solve a certain rational moment problem. The location of the interpolation points and the support of the measures satisfy conditions which make the problem analogous to the classical and strong (two-point) Stieltjes moment problems. The main result is that on a certain interval outside the support of the measures, the sequences of even and of odd [n-1/n] multi-point Padé approximants converge monotonically to Stieltjes transforms of solutions of the moment problem.status: publishe
Let f(z) be a Stieltjes function with asymptotic expansions L 0 and L1 at z = 0 and z = 1 respective...
AbstractLet f(z) be a Stieltjes function with asymptotic expansions L0 and L∞ at z = 0 and z = ∞, re...
For a wide class of Stieltjes functions we estimate the rate of convergence of Padé-type approximant...
The main purpose of this paper is to discuss behavior of multi-point Padé approximants of the Stielt...
AbstractLet ψ be a finite positive measure on R, and let Fψ(z) = ∫∞−∞ (dψ,(t)/(z − t)) be its Stielt...
AbstractLet ψ be a finite positive measure on R, and let Fψ(z) = ∫∞−∞ (dψ,(t)/(z − t)) be its Stielt...
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for...
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for...
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for...
AbstractIn the strong or two-point Stieltjes moment problem, one has to find a positive measure on [...
We prove convergence of diagonal multipoint Pad\'e approximants of Stieltjes-type functions when a c...
A multipoint Padë approximant, R, to a function of Stieltjes1 type is determined.The function R has ...
Let f(z) be a Stieltjes function with asymptotic expansions L0 and L∞ at z=0 and z=∞ respectively. L...
AbstractBy employing special continued fractions to two Stieltjes series with nonzero radii of conve...
AbstractUpper and lower estimates of Stieltjes function by N-point Padé approximants can be obtained...
Let f(z) be a Stieltjes function with asymptotic expansions L 0 and L1 at z = 0 and z = 1 respective...
AbstractLet f(z) be a Stieltjes function with asymptotic expansions L0 and L∞ at z = 0 and z = ∞, re...
For a wide class of Stieltjes functions we estimate the rate of convergence of Padé-type approximant...
The main purpose of this paper is to discuss behavior of multi-point Padé approximants of the Stielt...
AbstractLet ψ be a finite positive measure on R, and let Fψ(z) = ∫∞−∞ (dψ,(t)/(z − t)) be its Stielt...
AbstractLet ψ be a finite positive measure on R, and let Fψ(z) = ∫∞−∞ (dψ,(t)/(z − t)) be its Stielt...
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for...
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for...
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for...
AbstractIn the strong or two-point Stieltjes moment problem, one has to find a positive measure on [...
We prove convergence of diagonal multipoint Pad\'e approximants of Stieltjes-type functions when a c...
A multipoint Padë approximant, R, to a function of Stieltjes1 type is determined.The function R has ...
Let f(z) be a Stieltjes function with asymptotic expansions L0 and L∞ at z=0 and z=∞ respectively. L...
AbstractBy employing special continued fractions to two Stieltjes series with nonzero radii of conve...
AbstractUpper and lower estimates of Stieltjes function by N-point Padé approximants can be obtained...
Let f(z) be a Stieltjes function with asymptotic expansions L 0 and L1 at z = 0 and z = 1 respective...
AbstractLet f(z) be a Stieltjes function with asymptotic expansions L0 and L∞ at z = 0 and z = ∞, re...
For a wide class of Stieltjes functions we estimate the rate of convergence of Padé-type approximant...