Using polynomial interpolation, along with structural properties of the family of rational positive real functions, we here show that a set of m nodes in the open left half of the complex plane, can always be mapped to anywhere in the complex plane by rational positive real functions whose degree is at most m. Moreover we introduce an easy-to-find parametrization in R2m+3 of a large subset of these interpolating functions
AbstractWe study rational interpolation formulas on the interval [−1,1] for a given set of real or c...
Firstly, we present new sets of nodes for polynomial interpolation on the square that are asymptotic...
Let A = {α1, α2,...} be a sequence of numbers on the extended real line R ̂ = R ∪ {∞} and µ a posit...
Using polynomial interpolation, along with structural properties of the family of rational positive ...
AbstractThis is a study of the properties of rational coordinate functions for the purposes of inter...
AbstractThis paper is concerned with interpolation in the sense of Hermite by certain rational funct...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
We shall consider nested spaces L_n, n=0,1,2,... of rational functions with n prescribed poles outsi...
AbstractIt is shown that the interval where the nodes of a “good” interpolation polynomial are situa...
We shall consider nested spaces Ln, n = 0, 1, 2,... of rational functions with n prescribed poles ou...
AbstractLet A={α1,α2,…} be a sequence of numbers on the extended real line R̂=R∪{∞} and μ a positive...
Scalar rational functions with a non-negative real part on the right half plane, called positive, ar...
We introduce the following linear combination interpolation problem (LCI): Given N distinct numbers ...
We introduce the following linear combination interpolation problem (LCI): Given N distinct numbers ...
AbstractIn the two-dimensional plane, a set of points x1, x2, …, xn (called “nodes”) is given. It is...
AbstractWe study rational interpolation formulas on the interval [−1,1] for a given set of real or c...
Firstly, we present new sets of nodes for polynomial interpolation on the square that are asymptotic...
Let A = {α1, α2,...} be a sequence of numbers on the extended real line R ̂ = R ∪ {∞} and µ a posit...
Using polynomial interpolation, along with structural properties of the family of rational positive ...
AbstractThis is a study of the properties of rational coordinate functions for the purposes of inter...
AbstractThis paper is concerned with interpolation in the sense of Hermite by certain rational funct...
From the Erdös-Turán theorem, it is known that if f is a continuous function on T={z:|z|=1} and L_n(...
We shall consider nested spaces L_n, n=0,1,2,... of rational functions with n prescribed poles outsi...
AbstractIt is shown that the interval where the nodes of a “good” interpolation polynomial are situa...
We shall consider nested spaces Ln, n = 0, 1, 2,... of rational functions with n prescribed poles ou...
AbstractLet A={α1,α2,…} be a sequence of numbers on the extended real line R̂=R∪{∞} and μ a positive...
Scalar rational functions with a non-negative real part on the right half plane, called positive, ar...
We introduce the following linear combination interpolation problem (LCI): Given N distinct numbers ...
We introduce the following linear combination interpolation problem (LCI): Given N distinct numbers ...
AbstractIn the two-dimensional plane, a set of points x1, x2, …, xn (called “nodes”) is given. It is...
AbstractWe study rational interpolation formulas on the interval [−1,1] for a given set of real or c...
Firstly, we present new sets of nodes for polynomial interpolation on the square that are asymptotic...
Let A = {α1, α2,...} be a sequence of numbers on the extended real line R ̂ = R ∪ {∞} and µ a posit...