Question

Convergence rate for Chebyshev polynomials to approximate $\text{erf}(x)$ on a subset of $\mathbb{R}$

score 76 · Answer 1 · 2023-11-17 00:25:54

76

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Convergence rate for Chebyshev polynomials to approximate $\text{erf}(x)$ on a subset of $\mathbb{R}$

Published on 17 Nov 2023 - 0:25

score 226 · Answer 2 · 2023-11-22 14:00:14

226

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Chebyshev differential equations

Published on 22 Nov 2023 - 14:00

score 44 · Answer 3 · 2026-03-25 15:57:04

44

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Chebyshev approximation for bivariate function

Published on 25 Mar 2026 - 15:57

score 78 · Answer 4 · 2023-12-26 12:37:56

78

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Prove $\prod_{u=0}^{v-1}y\cos\frac{u\pi}v-x\sin\frac{u\pi}v=(-2)^{-v+1}\sum_{w=0}^{\lfloor\frac{v-1}2\rfloor}(-1)^w\binom{v}{2w+1}x^{v-2w-1}y^{2w+1}$

Published on 26 Dec 2023 - 12:37

score 61 · Answer 5 · 2023-12-29 15:15:02

61

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Density of Chebyshev nodes

Published on 29 Dec 2023 - 15:15

score 60 · Answer 6 · 2024-01-05 13:48:24

60

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Formula for $T_k(x + 1)$ where $T_k$ is $k$-th Chebyshev polynomial of the first kind

Published on 05 Jan 2024 - 13:48

score 102 · Answer 7 · 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 25 · Answer 8 · 2024-01-12 16:04:54

25

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Construct a manufactured solution of Poisson's equation with Chebyshev/Fourier expansions

Published on 12 Jan 2024 - 16:04

score 48 · Answer 9 · 2024-02-11 02:46:14

48

Views

Largest root of a linear combination of Chebyshev polynomials

Published on 11 Feb 2024 - 2:46

score 29 · Answer 10 · 2024-02-19 15:32:27

29

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Bounds of polynomial approximation of a function of many variables using Jackson inequality

Published on 19 Feb 2024 - 15:32

score 66 · Answer 11 · 2024-02-20 16:24:40

66

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Roots and extrema of the polynomial $P_n(x)=\sum_{k=0}^n\binom{n+k}{2k}(-x)^k$.

Published on 20 Feb 2024 - 16:24

score 293 · Answer 12 · 2024-03-02 15:34:24

293

Views

Closed form for infinite sum involving Chebyshev polynomials

Published on 02 Mar 2024 - 15:34

score 13 · Answer 13 · 2026-02-28 11:39:42

13

Views

Implementation reciprocal of a floating point number using Chebyshev approximation in CKKS

Published on 28 Feb 2026 - 11:39

score 127 · Answer 14 · 2024-03-11 06:34:26

127

Views

dependency on length of interval in Chebyshev coefficients

Published on 11 Mar 2024 - 6:34

score 17 · Answer 15 · 2026-03-13 06:03:36

17

Views

Chebyshev polynomials orthogonal with respect to different weight function?

Published on 13 Mar 2026 - 6:03

List Question

Convergence rate for Chebyshev polynomials to approximate $\text{erf}(x)$ on a subset of $\mathbb{R}$

Chebyshev differential equations

Chebyshev approximation for bivariate function

Prove $\prod_{u=0}^{v-1}y\cos\frac{u\pi}v-x\sin\frac{u\pi}v=(-2)^{-v+1}\sum_{w=0}^{\lfloor\frac{v-1}2\rfloor}(-1)^w\binom{v}{2w+1}x^{v-2w-1}y^{2w+1}$

Density of Chebyshev nodes

Formula for $T_k(x + 1)$ where $T_k$ is $k$-th Chebyshev polynomial of the first kind

Does Lagrange interpolation at Chebyshev points solve the Runge phenomenon?

Construct a manufactured solution of Poisson's equation with Chebyshev/Fourier expansions

Largest root of a linear combination of Chebyshev polynomials

Bounds of polynomial approximation of a function of many variables using Jackson inequality

Roots and extrema of the polynomial $P_n(x)=\sum_{k=0}^n\binom{n+k}{2k}(-x)^k$.

Closed form for infinite sum involving Chebyshev polynomials

Implementation reciprocal of a floating point number using Chebyshev approximation in CKKS

dependency on length of interval in Chebyshev coefficients

Chebyshev polynomials orthogonal with respect to different weight function?

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