Question

Infinite-order polynomial convergence

score 52 · Answer 1 · 2026-02-23 08:34:56

52

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Infinite-order polynomial convergence

Published on 23 Feb 2026 - 8:34

score 44 · Answer 2 · 2026-03-26 06:32:36

44

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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 26 Mar 2026 - 6:32

score 38 · Answer 3 · 2026-03-25 17:33:18

38

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How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Published on 25 Mar 2026 - 17:33

score 270 · Answer 4 · 2026-03-25 19:02:19

270

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Recovering a binary function on a lattice by studying its sum along closed paths

Published on 25 Mar 2026 - 19:02

score 63 · Answer 5 · 2024-01-03 19:38:07

63

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Divided differences of polynomials

Published on 03 Jan 2024 - 19:38

score 103 · Answer 6 · 2026-03-26 06:20:25

103

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Does Lagrange interpolation at Chebyshev points solve the Runge phenomenon?

Published on 26 Mar 2026 - 6:20

score 24 · Answer 7 · 2026-02-23 12:36:05

24

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Proving $\Phi_u(p)=|\Omega|^{-1 / p}\|u\|_{L^p(\Omega)}$ is Non-Decreasing for $u \in L^q(\Omega)$

Published on 23 Feb 2026 - 12:36

score 50 · Answer 8 · 2026-03-25 23:51:43

50

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cubic spline interpolation - spline interval

Published on 25 Mar 2026 - 23:51

score 47 · Answer 9 · 2026-03-25 23:56:43

47

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Is there a simple method for interpolation that doesn't overshoot?

Published on 25 Mar 2026 - 23:56

score 67 · Answer 10 · 2024-01-16 22:45:10

67

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Finite differences of function $f(n)=1+2+3+\ldots+n$.

Published on 16 Jan 2024 - 22:45

score 36 · Answer 11 · 2026-03-26 01:34:55

36

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Singular Matrix with Closed B-spline Interpolation when Degree and Number of Data Points are Both Even

Published on 26 Mar 2026 - 1:34

score 25 · Answer 12 · 2026-03-25 17:33:54

25

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From convergence of orthogonal projection to orthogonal series expansion in reproducing kernel Hilbert spaces.

Published on 25 Mar 2026 - 17:33

score 20 · Answer 13 · 2026-03-25 11:34:17

20

Views

find derivatives (hermite interpolation) via optimization: ensure uniqueness of optimization problem

Published on 25 Mar 2026 - 11:34

score 46 · Answer 14 · 2024-01-22 16:12:40

46

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Interpolation spaces

Published on 22 Jan 2024 - 16:12

score 43 · Answer 15 · 2026-03-25 14:39:51

43

Views

Uncertainty Principle in Kernel-based Interpolation

Published on 25 Mar 2026 - 14:39

List Question

Infinite-order polynomial convergence

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.

How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Recovering a binary function on a lattice by studying its sum along closed paths

Divided differences of polynomials

Does Lagrange interpolation at Chebyshev points solve the Runge phenomenon?

Proving $\Phi_u(p)=|\Omega|^{-1 / p}\|u\|_{L^p(\Omega)}$ is Non-Decreasing for $u \in L^q(\Omega)$

cubic spline interpolation - spline interval

Is there a simple method for interpolation that doesn't overshoot?

Finite differences of function $f(n)=1+2+3+\ldots+n$.

Singular Matrix with Closed B-spline Interpolation when Degree and Number of Data Points are Both Even

From convergence of orthogonal projection to orthogonal series expansion in reproducing kernel Hilbert spaces.

find derivatives (hermite interpolation) via optimization: ensure uniqueness of optimization problem

Interpolation spaces

Uncertainty Principle in Kernel-based Interpolation

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