List questions from approximation-theory

Published on 09 Nov 2020 - 13:16

2.8k

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What are ways to compute polynomials that converge from above and below to a continuous and bounded function on $[0,1]$?

Published on 12 Nov 2020 - 16:37

54

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Problem with the density of polynomials.

Published on 19 Nov 2020 - 19:26

1k

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Approximation for Beta distribution

Published on 28 Mar 2026 - 2:41

35

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Examples of (families of) functions that are badly approximatable by polynomials but well approximatable by splines

Published on 25 Nov 2020 - 23:41

192

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Is there a tighter error bound for this convergent version of Stirling's series?

Published on 27 Nov 2020 - 1:18

121

Views

A question about the property of covering numbers

Published on 05 Dec 2020 - 9:08

313

Views

Approximating compactly supported $L^2$ functions with Schwartz functions "from within"?

Published on 27 Mar 2026 - 14:58

70

Views

What is a sharp bound on the difference between $f$ and its linear approximation on $[a,b]$?

Published on 07 Dec 2020 - 17:36

100

Views

A question about two definitions of covering numbers

Published on 08 Dec 2020 - 0:26

230

Views

Expanding convolution integrals for sharply-peaked functions.

Published on 26 Mar 2026 - 9:16

151

Views

Approximation Algorithm question

Published on 15 Dec 2020 - 12:25

46

Views

Approximation theory. Technical lemma

Published on 25 Dec 2020 - 11:20

79

Views

Approximating musical pitch function (the function $2^x$)

Published on 27 Dec 2020 - 7:53

32

Views

Can a function be approximated by an infinitly often differentiable function with common values at the boundary of the Intervall

Published on 31 Dec 2020 - 8:29

List Question

How to prove this inequality using Taylor approximation?

What are ways to compute polynomials that converge from above and below to a continuous and bounded function on $[0,1]$?

Problem with the density of polynomials.

Approximation for Beta distribution

Examples of (families of) functions that are badly approximatable by polynomials but well approximatable by splines

Is there a tighter error bound for this convergent version of Stirling's series?

A question about the property of covering numbers

Approximating compactly supported $L^2$ functions with Schwartz functions "from within"?

What is a sharp bound on the difference between $f$ and its linear approximation on $[a,b]$?

A question about two definitions of covering numbers

Expanding convolution integrals for sharply-peaked functions.

Approximation Algorithm question

Approximation theory. Technical lemma

Approximating musical pitch function (the function $2^x$)

Can a function be approximated by an infinitly often differentiable function with common values at the boundary of the Intervall

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