constant interpolation
1Lebesgue constant (interpolation) — For other uses, see: Lebesgue constant. In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the given nodes) is in comparison with the best polynomial… …
2Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …
3Interpolation space — In the field of mathematical analysis, an interpolation space is a space which lies in between two other spaces. The main applications are in Sobolev spaces, where spaces of functions that have a noninteger number of derivatives are interpolated… …
4interpolation — /in terr peuh lay sheuhn/, n. 1. the act or process of interpolating or the state of being interpolated. 2. something interpolated, as a passage introduced into a text. 3. Math. a. the process of determining the value of a function between two… …
5Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …
6Marcinkiewicz interpolation theorem — In mathematics, the Marcinkiewicz interpolation theorem, discovered by Józef Marcinkiewicz (1939), is a result bounding the norms of non linear operators acting on Lp spaces. Marcinkiewicz theorem is similar to the Riesz–Thorin theorem about …
7Bilinear interpolation — In mathematics, bilinear interpolation is an extension of linear interpolation for interpolating functions of two variables on a regular grid. The key idea is to perform linear interpolation first in one direction, and then again in the other… …
8Nearest-neighbor interpolation — (blue lines) in one dimension on a (uniform) dataset (red points) …
9Hermite interpolation — is a method closely related to the Newton divided difference method of interpolation in numerical analysis, that allows us to consider given derivatives at data points, as well as the data points themselves. The interpolation will give a… …
10Lebesgue constant — Two kinds of constants are usually called Lebesgue constants (after Henri Lebesgue): * In the process of interpolation, the Lebesgue constants (with respect to a set of nodes) measure the precision of the polynomial interpolation at those nodes… …
