List questions from approximation-theory

543

Views

Proof that any that any function $f$ that is continous on $[a,b]$ can be approximated using a polygonal function $g$.

Published on 04 Apr 2020 - 14:51

81

Views

Approximate the eigenvalues of a diagonalizable infinite matrix by its truncations

Published on 24 Mar 2026 - 2:56

82

Views

Orthogonal polynomial approximation of any function

Published on 25 Mar 2026 - 14:19

35

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Need to show $||S_nf||_2 \leq ||f||_2$ approximation theory

Published on 25 Mar 2026 - 16:02

27

Views

Proving $||f-S_nf||_2 \rightarrow 0$ as $n \rightarrow \infty$

Published on 14 Apr 2020 - 6:39

651

Views

How can one compute the Shapley value using Monte Carlo?

Published on 19 Apr 2020 - 16:16

28

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Limiting Case of Distance Between Points on a Sphere

Published on 25 Mar 2026 - 11:01

49

Views

Approximating multi-variate continuous functions that map to [0,1] by polynomials

Published on 22 Apr 2020 - 1:23

176

Views

Minimizing a function and finding the optimal point

Published on 26 Apr 2020 - 18:42

21

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Can you approximate a function based solely on constraints?

Published on 29 Apr 2020 - 10:43

14

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Approximate of transformations

Published on 03 Mar 2026 - 7:06

154

Views

Approximating $\sin x$ with given polynomials .

Published on 09 May 2020 - 20:57

901

Views

Measure of complexity of a function

Published on 12 May 2020 - 2:56

166

Views

Approximation with error term / bounds for double summation

Published on 25 Mar 2026 - 11:08

38

Views

Show that the sign of the sequence is alternating

Published on 25 Mar 2026 - 14:06

List Question

Proof that any that any function $f$ that is continous on $[a,b]$ can be approximated using a polygonal function $g$.

Approximate the eigenvalues of a diagonalizable infinite matrix by its truncations

Orthogonal polynomial approximation of any function

Need to show $||S_nf||_2 \leq ||f||_2$ approximation theory

Proving $||f-S_nf||_2 \rightarrow 0$ as $n \rightarrow \infty$

How can one compute the Shapley value using Monte Carlo?

Limiting Case of Distance Between Points on a Sphere

Approximating multi-variate continuous functions that map to [0,1] by polynomials

Minimizing a function and finding the optimal point

Can you approximate a function based solely on constraints?

Approximate of transformations

Approximating $\sin x$ with given polynomials .

Measure of complexity of a function

Approximation with error term / bounds for double summation

Show that the sign of the sequence is alternating

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