List questions from approximation-theory

Published on 17 Sep 2019 - 16:30

259

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How to prove that $(1+x)^r$ behaves like $1+rx$ for small x without calculus?

Published on 21 Sep 2019 - 15:30

4.3k

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An error formula for linearization

Published on 20 Mar 2014 - 23:40

94

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Proof of the theorem of optimal approximation!

Published on 25 Mar 2014 - 14:48

1k

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Approximating piecewise linear function

Published on 31 Mar 2014 - 16:48

16

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Simplifcation of the Function Required

Published on 30 Apr 2014 - 12:11

658

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Questions over a specific case of the Muntz-Szasz theorem proof

Published on 02 May 2014 - 0:02

3.4k

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Examples of strictly convex normed spaces that are not uniformly convex

Published on 02 May 2014 - 19:40

160

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Using random numbers to evaluate $\sum_{k=1}^{10000}e^{\frac{k}{10000}}$

Published on 03 May 2014 - 0:05

239

Views

Multiplication of asymptotic approximation

Published on 04 May 2014 - 9:54

610

Views

Link between Chebyshev polynomials and best approximants

Published on 25 Mar 2026 - 10:58

697

Views

Asymptotic approximation of binomial theorem

Published on 14 May 2014 - 8:08

128

Views

Collection of monotone functions on compact subinterval is closed in uniform norm

Published on 18 May 2014 - 22:30

381

Views

Discrete Function Approximation Error - Which type? (Applied math, signals)

Published on 19 May 2014 - 9:53

462

Views

Smooth function and mollifiers with $\mathcal{C}^{\infty}$ continuation to a given function

Published on 27 May 2014 - 10:14

List Question

How small must $x$ be for the error of $\cos(x) \approx 1$ to be below a certain threshold

How to prove that $(1+x)^r$ behaves like $1+rx$ for small x without calculus?

An error formula for linearization

Proof of the theorem of optimal approximation!

Approximating piecewise linear function

Simplifcation of the Function Required

Questions over a specific case of the Muntz-Szasz theorem proof

Examples of strictly convex normed spaces that are not uniformly convex

Using random numbers to evaluate $\sum_{k=1}^{10000}e^{\frac{k}{10000}}$

Multiplication of asymptotic approximation

Link between Chebyshev polynomials and best approximants

Asymptotic approximation of binomial theorem

Collection of monotone functions on compact subinterval is closed in uniform norm

Discrete Function Approximation Error - Which type? (Applied math, signals)

Smooth function and mollifiers with $\mathcal{C}^{\infty}$ continuation to a given function

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