List questions from approximation-theory

Published on 25 Sep 2016 - 19:45

19

Views

Why does a function $f$ is bounded on an interval $\Leftrightarrow f(x)=\underset{x\to a}O(1)$

Published on 26 Sep 2016 - 16:22

478

Views

Approximation theory in Banach Spaces.

Published on 27 Sep 2016 - 17:46

29

Views

If $f$ is "almost" $x^k$, is $f^{-1}$ "almost" $x^{1/k}$?

Published on 10 Oct 2016 - 16:53

1.6k

Views

Special rational approximations to $e^x$ (exponential function)

Published on 11 Oct 2016 - 20:23

139

Views

Error Analysis of Gaussian Interpolation

Published on 12 Oct 2016 - 5:09

187

Views

$\operatorname{frac}(na)$ is dense in $[0,1]$ for irrational $a$. How to find the smallest $n$ efficiently?

Published on 12 Oct 2016 - 11:57

2.3k

Views

Relationship between Taylor and Weierstrass theorem

Published on 12 Oct 2016 - 15:08

77

Views

Polynomial approximation over two intervals

Published on 14 Oct 2016 - 8:01

55

Views

What kind of asymptote is this?

Published on 14 Oct 2016 - 13:54

140

Views

Continuity of the Stone-Weierstrass approximation operator

Published on 24 Oct 2016 - 18:01

632

Views

Stirling's Approximation Proof

Published on 25 Oct 2016 - 17:27

613

Views

Application of Runge theorem

Published on 26 Oct 2016 - 10:40

358

Views

The magnitude of the difference between the integral and the Riemann sums for continuous functions

Published on 27 Oct 2016 - 3:41

46

Views

Minimum number of piece-wise linear components to approximate a polynomial

Published on 25 Mar 2026 - 7:49

List Question

Approximation of continuous function by differentiable functions

Why does a function $f$ is bounded on an interval $\Leftrightarrow f(x)=\underset{x\to a}O(1)$

Approximation theory in Banach Spaces.

If $f$ is "almost" $x^k$, is $f^{-1}$ "almost" $x^{1/k}$?

Special rational approximations to $e^x$ (exponential function)

Error Analysis of Gaussian Interpolation

$\operatorname{frac}(na)$ is dense in $[0,1]$ for irrational $a$. How to find the smallest $n$ efficiently?

Relationship between Taylor and Weierstrass theorem

Polynomial approximation over two intervals

What kind of asymptote is this?

Continuity of the Stone-Weierstrass approximation operator

Stirling's Approximation Proof

Application of Runge theorem

The magnitude of the difference between the integral and the Riemann sums for continuous functions

Minimum number of piece-wise linear components to approximate a polynomial

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