# Questions tagged [interpolation]

Interpolation is the theory of constructing smooth functions, usually polynomials or trigonometric polynomials, whose graph passes through a number of given points in the plane. Splines and Bézier curves, piecewise linear or cubic interpolation, Lagrange and Hermite interpolation are example topics.

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### Can a polynomial be evaluated from evaluations of partial interpolations? (Or: can the unique solution of congruences be written in a certain way?)

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### Cubic spline interpolation without a constant term

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### Spline Interpolation error of higher degree

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### Interpolation estimate for trigonometric polynomial

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### Parabolic Sobolev inequality in Sobolev mixed norm spaces

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### Can we improve the error bounds for spline interpolation if the interpolated function is smooth?

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### 2d interpolation minimizing the integral of the norm of the Hessian

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### Infinite partial fraction expansions to compute fractional iterations and recurrences

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### Hermite interpolation with nested functions

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### L_q matrix inequality

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### Uniformly local Sobolev spaces and interpolation

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### Mismatching degrees and # derivatives in polynomial interpolation error formula

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### Reference request : Convergence of radial basis function interpolation or spline interpolation as points become dense, for a continuous function

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### Vector-valued interpolation for sublinear operators

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### How to interpolate a vector field from random orientation projections only?

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### tetrahedral interpolation and integration along a segment

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### An interpolation inequality

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### Approximation to continuous functions over an closed interval

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### Interpolating multivariate polynomials from their partial derivatives

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### algorithm for convex $C^2$ interpolation

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### Space contained in the Interpolation of $L^\infty$ and the Wiener Algebra $\mathcal{F}(L^1)$

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### How to find the elliptical arc that corresponds to the cubic bezier curve

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### Can this function be interpolated with a small power series

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### Interpolation of product spaces

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### Hardness results for approximating Hölder continuous functions

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### Properties of analytic “super-monomials”

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### Non-polynomial splines, a non-linear problem

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### Interpolation nodes for linear spline (piecewise-linear) interpolation of $x \ln x$

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### Convergence of Chebyshev interpolation in L^1

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### $G1$ interpolating curves with symmetric slopes in ends of segments

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### RKHS/non-parametric regression with missing response values

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### Polynomial interpolation, Chebyshev nodes, absolute continuity

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### How to evaluate an interpolation method, in terms of converging to the underlying function, as data points go to infinity?

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### Solutions to a special confluent Vandermonde system

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### Error bounds for spline interpolation. Hall and Meyer's conjecture

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### The $L_\infty$ norm of the derivative of the $L_2$ spline projector

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### Polynomial-preserving boundary conditions for spline interpolation

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### History of Underdetermined Interpolation

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### Interpolating Maximum function with symmetric polynomials

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### Comparison of methods to define a matrix function (Jordan canonical form, Hermite interpolation and Cauchy integral)? [closed]

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### On a case of real-analytic interpolation

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### Interpolation of a trilinear functional

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### Marsden's Identity and B-splines

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### Interpolation theory: equivalence of norms

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### An open problem in Sobolev spaces

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### For every table of interpolating nodes, there is a positive continuous function whose interpolating polynomials are not positive infinitely often

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### For which $n$, can we find a sequence of $n+1$ distinct points s.t. the interpolating polynomial of every +ve continuous function is itself +ve

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### Does every positive continuous function have a non-negative interpolating polynomial of every degree?

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### Asymptotic behavior of sum linked with Lagrange interpolation

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