The purpose of this paper is to make two modest contributions to the theory of interpolation
of operators on function spaces. The first deals with the modification of interpolation …

For a wide classof weights, a systematic investigation of the convergence-divergence
behavior of Lagrange interpolation is initiated. A system of nodes with optimal Lebesgue …

Interpolation from spaces spanned by monomials C. de Boor Page 1 Interpolation from spaces
spanned by monomials C. de Boor Dedicated to Mariano Gasca on the occasion of his sixtieth …

Convergence Properties of Spline-Like Cardinal Interpolation Operators Acting on $$\ell ^p$$
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Finite element simulation of a 3-D information, despite having enormous significance and
applications, could not get its due. Because of the complexity in the formulation of the basis …

We propose a modified general technique to derive quantitative assertions on lacunary
interpolation by algebraic polynomials. The inequalities obtained are consequences of a …

In the space of the last five years, several authors have developed a method of interpolation
for families of Banach spaces that generalizes the complex interpolation method of AP …

We present the error analysis of Lagrange interpolation on triangles. A new a priori error
estimate is derived in which the bound is expressed in terms of the diameter and …

An average interpolation is introduced for 3-rectangles and tetrahedra, and optimal order
error estimates in the H1 norm are proved. The constant in the estimate depends …

Suppose f is a distribution on R n, all of whose kth order derivatives are in L p (R p) and k is
large enough to imply that f is continuous, namely, kp> n. If the values of f on a grid of points …