Question

uniform continuity and which of the following statements are true??(NBHM-$2014$)

score 218 · Answer 1 · 2026-04-14 23:43:47

218

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uniform continuity and which of the following statements are true??(NBHM-$2014$)

Published on 14 Apr 2026 - 23:43

score 409 · Answer 2 · 2026-04-16 14:50:58

409

Views

Convergence of the Fourier serie of $f(x)=e^{2\pi i \alpha x}$

Published on 16 Apr 2026 - 14:50

score 27.3k · Answer 3 · 2026-04-15 20:29:43

27.3k

Views

Prove $x^n$ is not uniformly convergent

Published on 15 Apr 2026 - 20:29

score 392 · Answer 4 · 2026-04-14 02:28:43

392

Views

uniform convergence of a sequence of linear transformations on a compact subset

Published on 14 Apr 2026 - 2:28

score 650 · Answer 5 · 2026-04-15 20:07:45

650

Views

$(f_n)$ and $(g_n)$ are uniformly convergent to $f$ and $g$. Prove ratio converges to $f/g$.

Published on 15 Apr 2026 - 20:07

score 126 · Answer 6 · 2026-04-13 19:26:54

126

Views

Real Analysis : uniform convergence of sequence

Published on 13 Apr 2026 - 19:26

score 89 · Answer 7 · 2026-04-17 12:20:48

89

Views

Proving $ \lim_{n\rightarrow \infty}\overline{\int_{a}^{b}}f_{n}(x)dx = \overline{\int_{a}^{b}}f(x)dx. $

Published on 17 Apr 2026 - 12:20

score 103 · Answer 8 · 2026-04-14 15:24:28

103

Views

$\{u_{n}\}$ harmonic and converging uniformly to $u \Rightarrow $ $u$ harmonic

Published on 14 Apr 2026 - 15:24

score 548 · Answer 9 · 2026-04-08 16:45:06

548

Views

What are the typical approaches to showing that some function sequence does not converge uniformly?

Published on 08 Apr 2026 - 16:45

score 1.3k · Answer 10 · 2026-04-09 00:34:29

1.3k

Views

Uniformly continuous function approximated by Lipschitz

Published on 09 Apr 2026 - 0:34

score 1k · Answer 11 · 2026-04-16 19:21:17

1k

Views

Uniform convergence with uniform bound on second derivatives implies $C^1$ convergence.

Published on 16 Apr 2026 - 19:21

score 548 · Answer 12 · 2026-04-15 23:25:37

548

Views

The sequence of indefinite integrals of a uniformly convergent sequence, converges uniformly

Published on 15 Apr 2026 - 23:25

score 2.1k · Answer 13 · 2026-04-16 03:44:02

2.1k

Views

Uniform convergence of Taylor series

Published on 16 Apr 2026 - 3:44

score 276 · Answer 14 · 2026-04-20 02:47:57

276

Views

Showing that the hypothesis that $m (E) <\infty $ is essential in the Egoroff's theorem.

Published on 20 Apr 2026 - 2:47

score 185 · Answer 15 · 2026-04-17 03:43:21

185

Views

Prove or disprove that $\lim_{n→∞}\sup_{x∈R}⁡f_n (x) =\sup_{x∈R}⁡f(x)$

Published on 17 Apr 2026 - 3:43

List Question

uniform continuity and which of the following statements are true??(NBHM-$2014$)

Convergence of the Fourier serie of $f(x)=e^{2\pi i \alpha x}$

Prove $x^n$ is not uniformly convergent

uniform convergence of a sequence of linear transformations on a compact subset

$(f_n)$ and $(g_n)$ are uniformly convergent to $f$ and $g$. Prove ratio converges to $f/g$.

Real Analysis : uniform convergence of sequence

Proving $ \lim_{n\rightarrow \infty}\overline{\int_{a}^{b}}f_{n}(x)dx = \overline{\int_{a}^{b}}f(x)dx. $

$\{u_{n}\}$ harmonic and converging uniformly to $u \Rightarrow $ $u$ harmonic

What are the typical approaches to showing that some function sequence does not converge uniformly?

Uniformly continuous function approximated by Lipschitz

Uniform convergence with uniform bound on second derivatives implies $C^1$ convergence.

The sequence of indefinite integrals of a uniformly convergent sequence, converges uniformly

Uniform convergence of Taylor series

Showing that the hypothesis that $m (E) <\infty $ is essential in the Egoroff's theorem.

Prove or disprove that $\lim_{n→∞}\sup_{x∈R}⁡f_n (x) =\sup_{x∈R}⁡f(x)$

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