List questions from approximation-theory

Published on 25 Mar 2026 - 10:54

140

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How to (approximately) solve $f(x)^2+f(x)^3=e^x$?

Published on 13 Feb 2017 - 15:57

188

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Rate of convergence of the empirical measure to the invariant measure for a continuous dynamical system

Published on 15 Feb 2017 - 11:56

42

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Approximating (or better yet, solving) a functional equation

Published on 16 Feb 2017 - 3:13

706

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An accessible reference to proof of Nachbin's theorem

Published on 18 Feb 2017 - 17:08

63

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How does normalizing gradients in a function class affect the results of approximation theory?

Published on 26 Mar 2026 - 10:38

333

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Convergence of piecewise constant approximation of integrable functions

Published on 24 Feb 2017 - 17:03

101

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polynomial approximation for $\frac{1}{1-x}$

Published on 24 Feb 2017 - 17:10

1.3k

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Help proving the Weierstrass Approximation Theorem using Fejer's Theorem

Published on 22 Mar 2026 - 4:20

516

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Minimizing an Integral (Chebyshev Polynomials)

Published on 25 Mar 2026 - 17:17

1.1k

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Approximation of piecewise linear function by smooth function

Published on 02 Mar 2017 - 19:32

513

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Show that $\left|\int_{-h}^hf(x)\mathrm dx-\frac{h}3(f(-h)+f(h)+4f(0))\right|\le\frac{h^5}{90}\|f^{(4)}\|_\infty$

Published on 03 Mar 2017 - 21:45

1.4k

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Magnitude of n-th factorial

Published on 25 Mar 2026 - 9:17

649

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When is an interpolating polynomial better than cubic spline interpolation?

Published on 09 Mar 2017 - 1:51

714

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Haar condition and double zeros

Published on 15 Mar 2017 - 18:18

List Question

Nonlinear discrete wavelet approximation of piecewise $C_\infty$ functions and more

How to (approximately) solve $f(x)^2+f(x)^3=e^x$?

Rate of convergence of the empirical measure to the invariant measure for a continuous dynamical system

Approximating (or better yet, solving) a functional equation

An accessible reference to proof of Nachbin's theorem

How does normalizing gradients in a function class affect the results of approximation theory?

Convergence of piecewise constant approximation of integrable functions

polynomial approximation for $\frac{1}{1-x}$

Help proving the Weierstrass Approximation Theorem using Fejer's Theorem

Minimizing an Integral (Chebyshev Polynomials)

Approximation of piecewise linear function by smooth function

Show that $\left|\int_{-h}^hf(x)\mathrm dx-\frac{h}3(f(-h)+f(h)+4f(0))\right|\le\frac{h^5}{90}\|f^{(4)}\|_\infty$

Magnitude of n-th factorial

When is an interpolating polynomial better than cubic spline interpolation?

Haar condition and double zeros

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