List questions from analysis

Published on 29 Mar 2026 - 8:13

100

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Norm and boundedness of a linear operator

Published on 05 Apr 2026 - 4:25

224

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The definition of sequence spaces in functional analysis

Published on 29 Mar 2026 - 6:29

40

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Directional continuous derivative on vectors of a base implies differentiability in $\mathbb{R}^n$

Published on 01 Apr 2026 - 8:05

310

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The set of a monic polynomial with $P(0)<0$ is bounded above

Published on 25 Mar 2026 - 8:57

28

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Convergence of sequence of real function

Published on 21 Jan 2018 - 4:02

226

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Prove that $\forall k>0,\ \int_0^{+\infty}\frac{\sin x}{x+k}dx<\frac1k$.

Published on 01 Apr 2026 - 4:54

164

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Proving the error estimate of Simpson's rule using the Euler–Maclaurin sum formula

Published on 21 Jan 2018 - 9:02

48

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To get a small strip near the boundary of a smooth bounded domain

Published on 31 Mar 2026 - 16:14

220

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Continuous group homomorphism between normed vector spaces are linear?

Published on 01 Apr 2026 - 15:21

921

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Convergence of the sequence $ \sqrt {n-2\sqrt n} - \sqrt n $

Published on 25 Mar 2026 - 3:02

293

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If $f \in C([a, b],\mathbb{R})$ is differentiable on $(a,b]$ and $\lim_{x\to a}f'(x)$ exists, then $f\in C^1([a, b],\mathbb{R})$?

Published on 21 Jan 2018 - 13:01

64

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A function $p \in C^2\big([0,R),\mathbb{R}\big)$ satisfies $p(x) ≥ \alpha$ and $(1 + \beta)[p'(x)]^2\leq p''(x)p(x).$

Published on 21 Jan 2018 - 14:05

137

Views

Continuous functions whose Riemann sums are zero

Published on 21 Jan 2018 - 15:57

83

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Norm of an operator $T$

Published on 05 Apr 2026 - 16:01

List Question

Function with two preimages per y

Norm and boundedness of a linear operator

The definition of sequence spaces in functional analysis

Directional continuous derivative on vectors of a base implies differentiability in $\mathbb{R}^n$

The set of a monic polynomial with $P(0)<0$ is bounded above

Convergence of sequence of real function

Prove that $\forall k>0,\ \int_0^{+\infty}\frac{\sin x}{x+k}dx<\frac1k$.

Proving the error estimate of Simpson's rule using the Euler–Maclaurin sum formula

To get a small strip near the boundary of a smooth bounded domain

Continuous group homomorphism between normed vector spaces are linear?

Convergence of the sequence $ \sqrt {n-2\sqrt n} - \sqrt n $

If $f \in C([a, b],\mathbb{R})$ is differentiable on $(a,b]$ and $\lim_{x\to a}f'(x)$ exists, then $f\in C^1([a, b],\mathbb{R})$?

A function $p \in C^2\big([0,R),\mathbb{R}\big)$ satisfies $p(x) ≥ \alpha$ and $(1 + \beta)[p'(x)]^2\leq p''(x)p(x).$

Continuous functions whose Riemann sums are zero

Norm of an operator $T$

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