List questions from interpolation

Published on 14 Apr 2026 - 10:53

171

Views

Lagrange interpolation error.

Published on 10 May 2026 - 11:17

101

Views

Calculating interpolating polynomial with limited number of divisions

Published on 10 May 2026 - 11:20

27

Views

Interpolating polynomial - relation between uniqueness and the error of approximation

Published on 18 Apr 2026 - 10:13

209

Views

Chebychev polynomial nodes on a triangle

Published on 15 Apr 2026 - 1:28

771

Views

If we interpolate the function $f(x)=e^{x-1}$ with a polynomial $p$ of degree $12$ using $13$ nodes in $[-1,1]$, what is a good upper bound for

Published on 14 Apr 2026 - 21:35

420

Views

Prove that for all $x$, $\sum_{j=0}^{n}ℓ_j(x)=1$

Published on 15 Apr 2026 - 3:21

129

Views

Prove that the coefficient of $x^n$ in the polynomial $p(x)=\sum_{i=0}^{n}y_iℓ_i(x)$ is $\sum_{i=0}^{n}y_i\prod_{j=0, i\neq j}^{n}(x_i-x_j)^{-1}$

Published on 16 Apr 2026 - 22:04

942

Views

A polynomial parametric curve spanning known tangent end-points

Published on 29 Apr 2026 - 12:46

161

Views

Parabolic interpolation with Maple

Published on 10 May 2026 - 13:22

522

Views

Limit of divided differences.

Published on 12 Apr 2026 - 17:06

401

Views

How to find a general formula for any number sequence? $19,25,45,87,159$

Published on 13 Apr 2026 - 8:46

49

Views

Lanczos Splines

Published on 30 Apr 2026 - 12:55

369

Views

Polynomial interpolation of Bessel function

Published on 10 May 2026 - 11:38

69

Views

Notations to represent a smoothed function/variable

Published on 11 Apr 2026 - 15:59

List Question

Trigonometric vs Sinc Interpolation

Lagrange interpolation error.

Calculating interpolating polynomial with limited number of divisions

Interpolating polynomial - relation between uniqueness and the error of approximation

Chebychev polynomial nodes on a triangle

If we interpolate the function $f(x)=e^{x-1}$ with a polynomial $p$ of degree $12$ using $13$ nodes in $[-1,1]$, what is a good upper bound for

Prove that for all $x$, $\sum_{j=0}^{n}ℓ_j(x)=1$

Prove that the coefficient of $x^n$ in the polynomial $p(x)=\sum_{i=0}^{n}y_iℓ_i(x)$ is $\sum_{i=0}^{n}y_i\prod_{j=0, i\neq j}^{n}(x_i-x_j)^{-1}$

A polynomial parametric curve spanning known tangent end-points

Parabolic interpolation with Maple

Limit of divided differences.

How to find a general formula for any number sequence? $19,25,45,87,159$

Lanczos Splines

Polynomial interpolation of Bessel function

Notations to represent a smoothed function/variable

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