Question

error calculation in Lagrange interpolation

score 31 · Answer 1 · 2023-10-21 18:24:09

31

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error calculation in Lagrange interpolation

Published on 21 Oct 2023 - 18:24

score 34 · Answer 2 · 2023-11-30 17:22:35

34

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How to prove the given statement based on the conditions related to interpolating polynomials used in Adaptive Backward Differentiation Formula.

Published on 30 Nov 2023 - 17:22

score 43 · Answer 3 · 2023-12-21 22:09:54

43

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Prove $\max_{|x|\leq \frac13}|f(x)-p_2(x)|\leq \frac{1}{2\cdot 3^{\frac{11}{2}}}\,\max_{|x|\leq \frac13}|f^{(4)}(x)|$ for Runge's function.

Published on 21 Dec 2023 - 22:09

score 102 · Answer 4 · 2024-01-09 20:19:35

102

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Does Lagrange interpolation at Chebyshev points solve the Runge phenomenon?

Published on 09 Jan 2024 - 20:19

score 68 · Answer 5 · 2026-03-25 09:10:34

68

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Does there exist $f \in \mathcal{C}^\infty\left([a, b]\right)$ such that $M_n \rightarrow \infty$ but $\left\|f - p_n\right\| \rightarrow 0$?

Published on 25 Mar 2026 - 9:10

score 35 · Answer 6 · 2024-02-07 19:05:49

35

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Lagrange Interpolation as generalized polynom

Published on 07 Feb 2024 - 19:05

score 226 · Answer 7 · 2024-02-09 18:50:00

226

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Showing recursive Formula for Polynomial Interpolation

Published on 09 Feb 2024 - 18:50

score 113 · Answer 8 · 2026-03-25 14:25:46

113

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Where to find proof for the remainder formula of the interpolation in two variables

Published on 25 Mar 2026 - 14:25

score 25 · Answer 9 · 2024-03-12 13:26:30

25

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how to prove the following equation $\sum_{i=1}^{i=n}\prod_{j=1,j\neq{i}}^{j=n}{\frac{1}{x_{i}-x_{j}}}=0$

Published on 12 Mar 2024 - 13:26

score 20 · Answer 10 · 2024-03-18 12:50:21

20

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Maximum degree of polynomial interpolating a two-degree polynomial with an additional condition

Published on 18 Mar 2024 - 12:50

score 33 · Answer 11 · 2024-03-31 14:52:18

33

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Lagrange interpolation on a Galois Field in time $O(n \log (n))$

Published on 31 Mar 2024 - 14:52

score 425 · Answer 12 · 2015-03-20 02:36:50

425

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Is the lagrange interpolation polynomials a linear functional?

Published on 20 Mar 2015 - 2:36

score 53 · Answer 13 · 2015-03-31 11:19:10

53

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Express interpolation of a polynomial in other polynomial

Published on 31 Mar 2015 - 11:19

score 1.3k · Answer 14 · 2015-04-04 20:46:33

1.3k

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Error of lagrange interpolation

Published on 04 Apr 2015 - 20:46

score 2.5k · Answer 15 · 2015-04-08 19:59:20

2.5k

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How to transform function values to specific interval

Published on 08 Apr 2015 - 19:59

List Question

error calculation in Lagrange interpolation

How to prove the given statement based on the conditions related to interpolating polynomials used in Adaptive Backward Differentiation Formula.

Prove $\max_{|x|\leq \frac13}|f(x)-p_2(x)|\leq \frac{1}{2\cdot 3^{\frac{11}{2}}}\,\max_{|x|\leq \frac13}|f^{(4)}(x)|$ for Runge's function.

Does Lagrange interpolation at Chebyshev points solve the Runge phenomenon?

Does there exist $f \in \mathcal{C}^\infty\left([a, b]\right)$ such that $M_n \rightarrow \infty$ but $\left\|f - p_n\right\| \rightarrow 0$?

Lagrange Interpolation as generalized polynom

Showing recursive Formula for Polynomial Interpolation

Where to find proof for the remainder formula of the interpolation in two variables

how to prove the following equation $\sum_{i=1}^{i=n}\prod_{j=1,j\neq{i}}^{j=n}{\frac{1}{x_{i}-x_{j}}}=0$

Maximum degree of polynomial interpolating a two-degree polynomial with an additional condition

Lagrange interpolation on a Galois Field in time $O(n \log (n))$

Is the lagrange interpolation polynomials a linear functional?

Express interpolation of a polynomial in other polynomial

Error of lagrange interpolation

How to transform function values to specific interval

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