AbstractWe consider sqn roots of unity and define a class RσN*(Us, f) of rational functions which interpolate a given analytic function f on Us, a large subset of the roots of unity satisfying a congruence relation. f is then approximated over RσN*(f, Us) with respect to l(2)-norm on the complement of Us. We also discuss Walsh type equi convergence
Abstract: The univariate Taylor formula without remainder allows to reproduce a function completely ...
The authors construct some extended interpolation formulae to approximate the derivatives of a func...
The authors construct some extended interpolation formulae to approximate the derivatives of a func...
Consider an nth rational interpolatory quadrature rule J_n(f;σ) = Σ {L_j f(x_j); j=1..n} to approxim...
In this paper, a theorem of J. L. Walsh, on differences of polynomials interpolating in the roots of...
In this thesis we combine L$\sp2$-approximation with interpolation, the approximating functions bein...
Given a positive bounded Borel measure µ on the interval [-1,1], we provide convergence results in L...
AbstractGiven a positive bounded Borel measure μ on the interval [−1,1], we provide convergence resu...
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interp...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
Given a positive bounded Borel measure µ on the interval [−1, 1], we provide con-vergence results in...
AbstractLet α = {zn,m}nm = 1 with |zn,m| < 1, n = 1,2,…, be an arbitrary sequence of complex numbers...
AbstractHere interpolation is meant in the following sense: given f ε C¦a, b¦. and given a set of di...
Given a bounded Borel measure μ on the interval [-1,1], we provide convergence results in L²(μ)-norm...
AbstractA relation between the degree of convergence (in capacity) of Padé approximants and the degr...
Abstract: The univariate Taylor formula without remainder allows to reproduce a function completely ...
The authors construct some extended interpolation formulae to approximate the derivatives of a func...
The authors construct some extended interpolation formulae to approximate the derivatives of a func...
Consider an nth rational interpolatory quadrature rule J_n(f;σ) = Σ {L_j f(x_j); j=1..n} to approxim...
In this paper, a theorem of J. L. Walsh, on differences of polynomials interpolating in the roots of...
In this thesis we combine L$\sp2$-approximation with interpolation, the approximating functions bein...
Given a positive bounded Borel measure µ on the interval [-1,1], we provide convergence results in L...
AbstractGiven a positive bounded Borel measure μ on the interval [−1,1], we provide convergence resu...
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interp...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
Given a positive bounded Borel measure µ on the interval [−1, 1], we provide con-vergence results in...
AbstractLet α = {zn,m}nm = 1 with |zn,m| < 1, n = 1,2,…, be an arbitrary sequence of complex numbers...
AbstractHere interpolation is meant in the following sense: given f ε C¦a, b¦. and given a set of di...
Given a bounded Borel measure μ on the interval [-1,1], we provide convergence results in L²(μ)-norm...
AbstractA relation between the degree of convergence (in capacity) of Padé approximants and the degr...
Abstract: The univariate Taylor formula without remainder allows to reproduce a function completely ...
The authors construct some extended interpolation formulae to approximate the derivatives of a func...
The authors construct some extended interpolation formulae to approximate the derivatives of a func...
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