Interpolating bases for spaces of differentiable functions
Interpolating the m-th power of x at the zeros of the n-th Chebyshev-polynomial yields an almost best Chebyshev-approximation.
Interpolation and integration based on averaged values
We discuss recent results on constructing approximating schemes based on averaged values of the approximated function f over linear segments. In particular, we describe interpolation and integration formulae of high algebraic degree of precision that use weighted integrals of f over non-overlapping subintervals of the real line. The quadrature formula of this type of highest algebraic degree of precision is characterized.
Interpolation and the Laguerre-Pólya class.
Interpolation by bivariate polynomials based on Radon projections
For any given set of angles θ₀ < ... < θₙ in [0,π), we show that a set of Radon projections, consisting of k parallel X-ray beams in each direction , k = 0, ..., n, determines uniquely algebraic polynomials of degree n in two variables.
Interpolation by Generalized Splines.
Interpolation by holomorphic functions in the unit ball with polynomial growth
Interpolation by increasing polynomials
Interpolation by natural cubic spline.
Interpolation by periodic splines with Birkhoff knots.
Interpolation by sums of radial functions.
Interpolation de fonctions analytiques bornées
Interpolation de Lagrange par des splines quadratiques sur un quadrilatère de
Interpolation et idéaux de fonctions analytiques bornées
Interpolation formulas for functions of exponential type
In the paper we present a derivative-free estimate of the remainder of an arbitrary interpolation rule on the class of entire functions which, moreover, belong to the space . The theory is based on the use of the Paley-Wiener theorem. The essential advantage of this method is the fact that the estimate of the remainder is formed by a product of two terms. The first term depends on the rule only while the second depends on the interpolated function only. The obtained estimate of the remainder of...
Interpolation functions of -extensions of Apostol's type Euler polynomials.
Interpolation harmonique
Interpolation in a Banach space
Interpolation in harmonic Hilbert spaces
Interpolation in Weakly Pseudoconvex Domains in C2.