Question

I don`t understand this little incongruence about the error function of Lagrange interpolation polynomial.

score 47 · Answer 1 · 2022-05-31 08:58:41

47

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I don`t understand this little incongruence about the error function of Lagrange interpolation polynomial.

Published on 31 May 2022 - 8:58

score 166 · Answer 2 · 2022-07-07 09:59:43

166

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Is the following statement about polynomial approximation of non-differentiable functions true?

Published on 07 Jul 2022 - 9:59

score 789 · Answer 3 · 2022-08-01 19:19:42

789

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What is the most efficient algorithm to evaluate a polynomial of n degree at K points?

Published on 01 Aug 2022 - 19:19

score 88 · Answer 4 · 2022-08-22 01:45:22

88

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Bounding error term in Lagrange Interpolation

Published on 22 Aug 2022 - 1:45

score 221 · Answer 5 · 2022-09-11 17:03:50

221

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Prove that $\sum_{1\leq i\leq n}\prod_{j\neq i} \frac{1-x_ix_j}{x_i-x_j} = 0$ if $n$ is even and $1$ otherwise

Published on 11 Sep 2022 - 17:03

score 128 · Answer 6 · 2022-09-25 03:15:28

128

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how to prove span of Lagrange basis functions is equivalent to${\rm span}\{1,x,\dots,x^n\} $

Published on 25 Sep 2022 - 3:15

score 38 · Answer 7 · 2026-03-25 23:56:41

38

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Find Hermitian interpolation with Lagrangian polynomials

Published on 25 Mar 2026 - 23:56

score 41 · Answer 8 · 2022-10-07 22:28:59

41

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Lagrange Polynomial to estimate the derivatives of a function

Published on 07 Oct 2022 - 22:28

score 30 · Answer 9 · 2022-10-17 19:44:03

30

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Trouble trying to bound an approximation using Lagrange interpolation.

Published on 17 Oct 2022 - 19:44

score 159 · Answer 10 · 2022-10-19 03:33:05

159

Views

Convex optimization with Ridge regression

Published on 19 Oct 2022 - 3:33

score 117 · Answer 11 · 2022-10-24 03:59:10

117

Views

Simplifying $\frac{a^4}{(a-b)(a-c)} + \frac{b^4}{(b-a)(b-c)} + \frac{c^4}{(c-a)(c-b)}$ using Lagrange’s polynomial

Published on 24 Oct 2022 - 3:59

score 151 · Answer 12 · 2022-10-28 04:45:55

151

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Newton's Divided Difference Formula without given data point

Published on 28 Oct 2022 - 4:45

score 31 · Answer 13 · 2022-10-28 22:17:13

31

Views

why is my lagrangian interpolation not approximating as nearly accurate as Newton's DD approximation?

Published on 28 Oct 2022 - 22:17

score 57 · Answer 14 · 2022-11-03 01:46:30

57

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Issues with the Peano kernel in the Peano kernel theorem

Published on 03 Nov 2022 - 1:46

score 55 · Answer 15 · 2022-11-05 10:08:47

55

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Lagrange interpolation as two points get closer and closer

Published on 05 Nov 2022 - 10:08

List Question

I don`t understand this little incongruence about the error function of Lagrange interpolation polynomial.

Is the following statement about polynomial approximation of non-differentiable functions true?

What is the most efficient algorithm to evaluate a polynomial of n degree at K points?

Bounding error term in Lagrange Interpolation

Prove that $\sum_{1\leq i\leq n}\prod_{j\neq i} \frac{1-x_ix_j}{x_i-x_j} = 0$ if $n$ is even and $1$ otherwise

how to prove span of Lagrange basis functions is equivalent to${\rm span}\{1,x,\dots,x^n\} $

Find Hermitian interpolation with Lagrangian polynomials

Lagrange Polynomial to estimate the derivatives of a function

Trouble trying to bound an approximation using Lagrange interpolation.

Convex optimization with Ridge regression

Simplifying $\frac{a^4}{(a-b)(a-c)} + \frac{b^4}{(b-a)(b-c)} + \frac{c^4}{(c-a)(c-b)}$ using Lagrange’s polynomial

Newton's Divided Difference Formula without given data point

why is my lagrangian interpolation not approximating as nearly accurate as Newton's DD approximation?

Issues with the Peano kernel in the Peano kernel theorem

Lagrange interpolation as two points get closer and closer

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