Question

Prove that a bounded $f$ is integrable if $I_0 := \lim_{n\to\infty}L(f,P_n) = \lim_{n\to\infty}U(f,P_n)$

score 417 · Answer 1 · 2021-12-02 03:05:46

417

Views

Prove that a bounded $f$ is integrable if $I_0 := \lim_{n\to\infty}L(f,P_n) = \lim_{n\to\infty}U(f,P_n)$

Published on 02 Dec 2021 - 3:05

score 77 · Answer 2 · 2021-12-02 13:57:04

77

Views

Expected Value Explanation

Published on 02 Dec 2021 - 13:57

score 67 · Answer 3 · 2021-12-05 14:11:34

67

Views

Show Riemann-integrability of discontinuous function

Published on 05 Dec 2021 - 14:11

score 44 · Answer 4 · 2021-12-11 00:11:09

44

Views

Double integral of two continuous functions

Published on 11 Dec 2021 - 0:11

score 84 · Answer 5 · 2021-12-14 17:15:42

84

Views

Question about darboux integral sums and inequality.

Published on 14 Dec 2021 - 17:15

score 95 · Answer 6 · 2026-03-27 23:20:09

95

Views

Integral-sum conversion in the proof that the $\chi^2$ statistic tends to the $\chi^2$ distribution

Published on 27 Mar 2026 - 23:20

score 142 · Answer 7 · 2021-12-30 14:53:45

142

Views

Validity of the Riemann series theorem

Published on 30 Dec 2021 - 14:53

score 206 · Answer 8 · 2022-01-03 00:45:55

206

Views

The Riemann integral of a non-negative function

Published on 03 Jan 2022 - 0:45

score 216 · Answer 9 · 2022-01-07 11:39:37

216

Views

Is the set of the upper Riemann sums convex for an arbitrary bounded function $f(x)$?

Published on 07 Jan 2022 - 11:39

score 57 · Answer 10 · 2022-01-09 15:55:21

57

Views

Question on Riemann Integrals

Published on 09 Jan 2022 - 15:55

score 117 · Answer 11 · 2022-01-11 20:09:16

117

Views

Showing that surface area is equivalent to $\int_{S}\|\partial_u\phi\times\partial_v\phi\|dudv$, and is there MVT for bijections: $\Bbb R\to\Bbb R^2$?

Published on 11 Jan 2022 - 20:09

score 75 · Answer 12 · 2022-01-14 03:31:03

75

Views

Uniqueness of Riemann Sum to Definite Integral

Published on 14 Jan 2022 - 3:31

score 96 · Answer 13 · 2022-01-15 04:27:45

96

Views

Derivation of integral version of arc length formula

Published on 15 Jan 2022 - 4:27

score 1.1k · Answer 14 · 2022-01-18 16:35:09

1.1k

Views

error bound for midpoint rule - exact error

Published on 18 Jan 2022 - 16:35

score 47 · Answer 15 · 2022-01-22 12:53:25

47

Views

$\lim_{n \to \infty} {\frac{1}{n^2}\sum_{k=0}^{n}{\frac{1}{\ln{(1 + \frac{(n+k)\sqrt{n^2+k^2}}{n^3})}}}}$

Published on 22 Jan 2022 - 12:53

List Question

Prove that a bounded $f$ is integrable if $I_0 := \lim_{n\to\infty}L(f,P_n) = \lim_{n\to\infty}U(f,P_n)$

Expected Value Explanation

Show Riemann-integrability of discontinuous function

Double integral of two continuous functions

Question about darboux integral sums and inequality.

Integral-sum conversion in the proof that the $\chi^2$ statistic tends to the $\chi^2$ distribution

Validity of the Riemann series theorem

The Riemann integral of a non-negative function

Is the set of the upper Riemann sums convex for an arbitrary bounded function $f(x)$?

Question on Riemann Integrals

Showing that surface area is equivalent to $\int_{S}\|\partial_u\phi\times\partial_v\phi\|dudv$, and is there MVT for bijections: $\Bbb R\to\Bbb R^2$?

Uniqueness of Riemann Sum to Definite Integral

Derivation of integral version of arc length formula

error bound for midpoint rule - exact error

$\lim_{n \to \infty} {\frac{1}{n^2}\sum_{k=0}^{n}{\frac{1}{\ln{(1 + \frac{(n+k)\sqrt{n^2+k^2}}{n^3})}}}}$

Trending Questions

Popular # Hahtags

Popular Questions