List questions from approximation-theory

Published on 25 Mar 2026 - 2:57

1.1k

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Hermite polynomials approximate of a function and its derivatives

Published on 25 Mar 2026 - 14:39

68

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Show that the sequence $\{x_n\}_{n=1}^\infty$ does not converge in $ \ell^2 (\mathbb{N}). $

Published on 05 Oct 2017 - 14:08

666

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Can the remainder of a Taylor expansion be estimated from the coefficients?

Published on 06 Oct 2017 - 18:50

76

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Finding approximation methods for a function and its derivative

Published on 11 Oct 2017 - 0:18

99

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How to approximate a level curve?

Published on 17 Oct 2017 - 19:32

708

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Details of proof of convergence of Bernstein polynomial approximation

Published on 20 Oct 2017 - 6:15

2.3k

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Proving that: $9.9998\lt \frac{\pi^9}{e^8}\lt 10$?

Published on 28 Mar 2026 - 19:39

696

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Possible Pythagorean relation with Golden Ratio $ \phi^2+e^2 \approx \pi^2$

Published on 27 Mar 2026 - 11:46

60

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Making an approximation

Published on 29 Oct 2017 - 20:08

222

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First order approximation and small angle approximation

Published on 31 Oct 2017 - 5:20

41

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Bounding sum of samples of a Gaussian

Published on 08 Nov 2017 - 13:11

414

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What is the relation between Chebyshev and Taylor polynomials?

Published on 09 Nov 2017 - 12:10

100

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Does the function $U=\frac{kx}{(x+x_{0})^2}$ reduce to a simple harmonic potential energy function for small oscillations around $x=x_0$?

Published on 25 Mar 2026 - 21:49

116

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When using taylor expansion for an expression with multiple terms, how do I determine the limit for accurate approximation?

Published on 17 Nov 2017 - 18:00

List Question

Pade approximation of a rational function

Hermite polynomials approximate of a function and its derivatives

Show that the sequence $\{x_n\}_{n=1}^\infty$ does not converge in $ \ell^2 (\mathbb{N}). $

Can the remainder of a Taylor expansion be estimated from the coefficients?

Finding approximation methods for a function and its derivative

How to approximate a level curve?

Details of proof of convergence of Bernstein polynomial approximation

Proving that: $9.9998\lt \frac{\pi^9}{e^8}\lt 10$?

Possible Pythagorean relation with Golden Ratio $ \phi^2+e^2 \approx \pi^2$

Making an approximation

First order approximation and small angle approximation

Bounding sum of samples of a Gaussian

What is the relation between Chebyshev and Taylor polynomials?

Does the function $U=\frac{kx}{(x+x_{0})^2}$ reduce to a simple harmonic potential energy function for small oscillations around $x=x_0$?

When using taylor expansion for an expression with multiple terms, how do I determine the limit for accurate approximation?

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