List questions from approximation

Published on 14 Feb 2014 - 10:13

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Sharpness of the upper bound $(1-x)^n \leq 1 + \frac{nx}{2}$

Published on 17 Feb 2014 - 18:29

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Stone-Weierstrass theorem with $p(1/x)$

Published on 29 Mar 2026 - 2:29

958

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Taylor Series of Integral

Published on 20 Feb 2014 - 2:16

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Show $\int_{M}^{\infty}\left|\frac{e^{-x^a}\cos(Cx)}{x^{b+1}}\right|dx<\frac{1}{aM^{a+b}e^{M^a}}$?

Published on 21 Feb 2014 - 8:12

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A power approximation function

Published on 21 Feb 2014 - 16:50

181

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Approximating $\ln{\frac{x-y}{x+y}}$

Published on 23 Feb 2014 - 11:43

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Approximating Trig Functions with Polynomials

Published on 25 Feb 2014 - 18:23

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Approximation of indicator function of an open set by continuous functions

Published on 25 Feb 2014 - 19:39

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Approximate a polynomial function using a sum of sine waves

Published on 08 Apr 2026 - 20:39

74

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What is a good approximation of $(1-p)(1-q)$ as $(1-x)^2$, for $p,q \in (0,1)$?

Published on 04 Apr 2026 - 0:39

149

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Absolute error computation

Published on 28 Feb 2014 - 20:43

188

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Counterexample to smooth approximation of sobolev function on closure of set without $C^1$ boundary

Published on 01 Mar 2014 - 18:19

104

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Time Discretization

Published on 05 Apr 2026 - 5:19

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Approximating Logs and Antilogs by hand

Published on 04 Mar 2014 - 2:13

List Question

Are there known pairs of simple numbers equal to huge precision, but not equal strictly?

Sharpness of the upper bound $(1-x)^n \leq 1 + \frac{nx}{2}$

Stone-Weierstrass theorem with $p(1/x)$

Taylor Series of Integral

Show $\int_{M}^{\infty}\left|\frac{e^{-x^a}\cos(Cx)}{x^{b+1}}\right|dx<\frac{1}{aM^{a+b}e^{M^a}}$?

A power approximation function

Approximating $\ln{\frac{x-y}{x+y}}$

Approximating Trig Functions with Polynomials

Approximation of indicator function of an open set by continuous functions

Approximate a polynomial function using a sum of sine waves

What is a good approximation of $(1-p)(1-q)$ as $(1-x)^2$, for $p,q \in (0,1)$?

Absolute error computation

Counterexample to smooth approximation of sobolev function on closure of set without $C^1$ boundary

Time Discretization

Approximating Logs and Antilogs by hand

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