List questions from approximation

Published on 27 Mar 2018 - 10:15

205

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Suppose $f$ is in $C([0,1])$ and $f(0)=f(1)=0$. Show that $f$ is the uniform limit of a sequence of polynomials with $p_n(0) =p_n(1) = 0$ for all $n$.

Published on 25 Mar 2026 - 4:44

79

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Numerical Appr Methods [When to Use]

Published on 31 Mar 2018 - 2:50

89

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Approximation of the number of partitions of n, denoted p(n)

Published on 31 Mar 2018 - 21:05

197

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noncompact difference

Published on 16 Mar 2026 - 20:35

334

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Approximate relation between $k$ in $Y(t)=1-\exp(-kt)$ and $R=\frac{X(1-Y)}{Y(1-X)}$ where $d X/dt=15(Y-X)$ with $X(0)=0$?

Published on 02 Apr 2018 - 14:28

66

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Finding lower bound of summation in inequality

Published on 02 Apr 2018 - 18:25

105

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Is there an approximation to $\frac{1}{-\log(1-e^{-\beta})}$

Published on 03 Apr 2018 - 17:34

256

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How to approximate an Exponential integral with upper boundary

Published on 04 Apr 2018 - 8:32

1.1k

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Period of the pendulum and taylor expansion

Published on 05 Apr 2018 - 13:17

457

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"Least Squares" of Dirac Delta?

Published on 25 Mar 2026 - 3:19

33

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Approximation - Weight function

Published on 07 Apr 2018 - 10:25

726

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How can I approximate the root of $\cos x = x$ with a Taylor series?

Published on 25 Mar 2026 - 6:06

52

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How to express a smooth multi-dimensional function based on several sampled points

Published on 25 Mar 2026 - 1:15

222

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recurrence relation in approximating theory

Published on 25 Mar 2026 - 4:35

List Question

Why is $2\ln (662+\pi)$ so close to $13$?

Suppose $f$ is in $C([0,1])$ and $f(0)=f(1)=0$. Show that $f$ is the uniform limit of a sequence of polynomials with $p_n(0) =p_n(1) = 0$ for all $n$.

Numerical Appr Methods [When to Use]

Approximation of the number of partitions of n, denoted p(n)

noncompact difference

Approximate relation between $k$ in $Y(t)=1-\exp(-kt)$ and $R=\frac{X(1-Y)}{Y(1-X)}$ where $d X/dt=15(Y-X)$ with $X(0)=0$?

Finding lower bound of summation in inequality

Is there an approximation to $\frac{1}{-\log(1-e^{-\beta})}$

How to approximate an Exponential integral with upper boundary

Period of the pendulum and taylor expansion

"Least Squares" of Dirac Delta?

Approximation - Weight function

How can I approximate the root of $\cos x = x$ with a Taylor series?

How to express a smooth multi-dimensional function based on several sampled points

recurrence relation in approximating theory

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