It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidistant nodes grows logarithmically in the number of interpolation nodes. In this paper we show that the same holds for a very general class of well-spaced nodes and essentially any distribution of nodes that satisfy a certain regularity condition, including Chebyshev–Gauss–Lobatto nodes as well as extended Chebyshev nodes.
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and...
AbstractIt is well known that polynomial interpolation at equidistant nodes can give bad approximati...
It is well known that the classical polynomial interpolation gives bad approximation if the nodes ar...
It has recently been shown that the Lebesgue constant for Berrut\u2019s rational interpolant at equi...
It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidista...
It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidista...
It is well known that polynomial interpolation at equidistant nodes can give bad approximation resul...
AbstractIt is well known that polynomial interpolation at equidistant nodes can give bad approximati...
We give bounds for the Lebesgue constant for Berrut's rational interpolant at very general node sets
We show that the Lebesgue constant for Berrut's rational interpolant at equally spaced points has lo...
It is well known that polynomial interpolation at equidistant nodes can give bad approximation resul...
A well-known result in linear approximation theory states that the norm of the operator, known as th...
A collection of recent papers reveals that linear barycentric rational interpolation with the weight...
We show that the Lebesgue constant for barycentric rational interpolation at equally spaced points o...
A collection of recent papers reveals that linear barycentric rational interpolation with the weight...
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and...
AbstractIt is well known that polynomial interpolation at equidistant nodes can give bad approximati...
It is well known that the classical polynomial interpolation gives bad approximation if the nodes ar...
It has recently been shown that the Lebesgue constant for Berrut\u2019s rational interpolant at equi...
It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidista...
It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidista...
It is well known that polynomial interpolation at equidistant nodes can give bad approximation resul...
AbstractIt is well known that polynomial interpolation at equidistant nodes can give bad approximati...
We give bounds for the Lebesgue constant for Berrut's rational interpolant at very general node sets
We show that the Lebesgue constant for Berrut's rational interpolant at equally spaced points has lo...
It is well known that polynomial interpolation at equidistant nodes can give bad approximation resul...
A well-known result in linear approximation theory states that the norm of the operator, known as th...
A collection of recent papers reveals that linear barycentric rational interpolation with the weight...
We show that the Lebesgue constant for barycentric rational interpolation at equally spaced points o...
A collection of recent papers reveals that linear barycentric rational interpolation with the weight...
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and...
AbstractIt is well known that polynomial interpolation at equidistant nodes can give bad approximati...
It is well known that the classical polynomial interpolation gives bad approximation if the nodes ar...