List questions from approximation-theory

Published on 26 Nov 2017 - 1:09

123

Views

Find first degree polynomial approximation to function in $L^2[0,1]$

Published on 26 Nov 2017 - 8:28

49

Views

Best approximation to $t^2$ in first-dgree polynmial in $L^1[0,1]$

Published on 27 Nov 2017 - 7:25

178

Views

What is a good way to sample data points on an interval as to avoid Runge's phenomenon but have a deterministic sampling scheme?

Published on 29 Nov 2017 - 22:42

168

Views

Orthogonal Projection of a function onto $M$

Published on 30 Nov 2017 - 2:54

148

Views

Fourier series approximation of $f \in H_p^s$ rate of convergence

Published on 30 Nov 2017 - 8:06

35

Views

Show as $n$ get large that $e^{\frac{-n^2}{2K}}$ is an approximation of $\frac{k!}{k^n(k-n)!}$

Published on 02 Dec 2017 - 21:07

80

Views

Approximation of $1-e^{-z}$

Published on 05 Dec 2017 - 19:02

270

Views

If one proves uniform convergence of a function does that imply convergence in every other $L^p$ norm?

Published on 10 Dec 2017 - 21:04

549

Views

Why does the sup norm make the results of approximation theory independent from the unknown distribution of the input data?

Published on 27 Mar 2026 - 21:35

669

Views

Show that $T$ is a contraction.

Published on 11 Dec 2017 - 11:16

297

Views

Any insight on the half reciprocal Fibonacci sequence?

Published on 11 Dec 2017 - 17:09

57

Views

Analytic Decay Rate of Polynomial-Gaussian Product

Published on 11 Dec 2017 - 23:05

269

Views

Fejer monotone with respect to the convex hull of $C$

Published on 12 Dec 2017 - 10:24

56

Views

calculate the derivative of a function containing factorial

Published on 22 Dec 2017 - 17:44

List Question

Best constant approximations in $C[0,1]$, $L^1[0,1]$, $L^2[0,1]$

Find first degree polynomial approximation to function in $L^2[0,1]$

Best approximation to $t^2$ in first-dgree polynmial in $L^1[0,1]$

What is a good way to sample data points on an interval as to avoid Runge's phenomenon but have a deterministic sampling scheme?

Orthogonal Projection of a function onto $M$

Fourier series approximation of $f \in H_p^s$ rate of convergence

Show as $n$ get large that $e^{\frac{-n^2}{2K}}$ is an approximation of $\frac{k!}{k^n(k-n)!}$

Approximation of $1-e^{-z}$

If one proves uniform convergence of a function does that imply convergence in every other $L^p$ norm?

Why does the sup norm make the results of approximation theory independent from the unknown distribution of the input data?

Show that $T$ is a contraction.

Any insight on the half reciprocal Fibonacci sequence?

Analytic Decay Rate of Polynomial-Gaussian Product

Fejer monotone with respect to the convex hull of $C$

calculate the derivative of a function containing factorial

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