Question

‎If ‎$‎f‎$ ‎is ‎convex ‎and ‎$‎\delta‎>0‎$‎, then ‎$‎f(x + ‎\delta‎) - f(x)‎$ ‎is ‎increasing.‎

score 168 · Answer 1 · 2019-08-19 16:29:59

168

Views

‎If ‎$‎f‎$ ‎is ‎convex ‎and ‎$‎\delta‎>0‎$‎, then ‎$‎f(x + ‎\delta‎) - f(x)‎$ ‎is ‎increasing.‎

Published on 19 Aug 2019 - 16:29

score 143 · Answer 2 · 2026-03-25 16:03:17

143

Views

Monotonicity of quotients of elementary symmetric polynomials

Published on 25 Mar 2026 - 16:03

score 411 · Answer 3 · 2019-08-21 07:57:40

411

Views

If ‎$‎f‎$ ‎is ‎a‎ convex function on ‎$‎[a, b]‎$‎, then ‎$‎f‎$ ‎is ‎increasing ‎on ‎$‎[a, b]‎$‎.‎

Published on 21 Aug 2019 - 7:57

score 98 · Answer 4 · 2019-08-22 11:55:03

98

Views

What does it mean by 'monotone' when referring to functions?

Published on 22 Aug 2019 - 11:55

score 71 · Answer 5 · 2019-08-24 17:31:18

71

Views

Construction of a strictly increasing continuous function.

Published on 24 Aug 2019 - 17:31

score 273 · Answer 6 · 2026-03-25 21:01:27

273

Views

How to generalize this version of Tarski’s Fixed Point Theorem?

Published on 25 Mar 2026 - 21:01

score 64 · Answer 7 · 2019-09-12 11:29:49

64

Views

Show this function is increasing and find its limit at 0.

Published on 12 Sep 2019 - 11:29

score 2.8k · Answer 8 · 2026-03-26 02:40:29

2.8k

Views

Determine if the following sequence is monotonic

Published on 26 Mar 2026 - 2:40

score 41 · Answer 9 · 2019-09-18 16:09:16

41

Views

How to construct a continuous and not monotonic that is close as required to a given function?

Published on 18 Sep 2019 - 16:09

score 184 · Answer 10 · 2019-09-19 17:59:50

184

Views

Use the Monotone Convergence Theorem to show the sequence $(s_n)_{n\ge0}$ converges to a limit

Published on 19 Sep 2019 - 17:59

score 55 · Answer 11 · 2019-09-20 15:53:21

55

Views

Is the function still monotonic?

Published on 20 Sep 2019 - 15:53

score 100 · Answer 12 · 2026-03-26 04:34:19

100

Views

Prove that the sequence $C_{n+1} = 1 + \frac{C_n}{C_n + 1}$ is monotonically increasing by induction

Published on 26 Mar 2026 - 4:34

score 61 · Answer 13 · 2019-09-22 19:07:25

61

Views

Why Definition of decreasing Sequence not Applicable here?

Published on 22 Sep 2019 - 19:07

score 124 · Answer 14 · 2019-09-24 22:03:51

124

Views

Limit and integral!

Published on 24 Sep 2019 - 22:03

score 45 · Answer 15 · 2019-09-30 07:39:59

45

Views

What we can say about the monotonocity of the function $f$ near zero

Published on 30 Sep 2019 - 7:39

List Question

‎If ‎$‎f‎$ ‎is ‎convex ‎and ‎$‎\delta‎>0‎$‎, then ‎$‎f(x + ‎\delta‎) - f(x)‎$ ‎is ‎increasing.‎

Monotonicity of quotients of elementary symmetric polynomials

If ‎$‎f‎$ ‎is ‎a‎ convex function on ‎$‎[a, b]‎$‎, then ‎$‎f‎$ ‎is ‎increasing ‎on ‎$‎[a, b]‎$‎.‎

What does it mean by 'monotone' when referring to functions?

Construction of a strictly increasing continuous function.

How to generalize this version of Tarski’s Fixed Point Theorem?

Show this function is increasing and find its limit at 0.

Determine if the following sequence is monotonic

How to construct a continuous and not monotonic that is close as required to a given function?

Use the Monotone Convergence Theorem to show the sequence $(s_n)_{n\ge0}$ converges to a limit

Is the function still monotonic?

Prove that the sequence $C_{n+1} = 1 + \frac{C_n}{C_n + 1}$ is monotonically increasing by induction

Why Definition of decreasing Sequence not Applicable here?

Limit and integral!

What we can say about the monotonocity of the function $f$ near zero

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