Question

Find all the functions such that $ g ( x ^ m y ^ n ) \le g ( x ) ^ { \frac { a ^ 2 } m } g ( y ) ^ { \frac { b ^ 2 } n } $

score 91 · Answer 1 · 2026-03-22 18:54:16

91

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Find all the functions such that $ g ( x ^ m y ^ n ) \le g ( x ) ^ { \frac { a ^ 2 } m } g ( y ) ^ { \frac { b ^ 2 } n } $

Published on 22 Mar 2026 - 18:54

score 55 · Answer 2 · 2018-03-01 11:20:03

55

Views

Functions Defining 'Spirals'

Published on 01 Mar 2018 - 11:20

score 81 · Answer 3 · 2018-03-02 12:21:14

81

Views

Analytic $f : f(z^5) = 5 \cdot f(z) $ for $0 < arg(z) < \pi / 100$

Published on 02 Mar 2018 - 12:21

score 108 · Answer 4 · 2018-03-06 15:51:56

108

Views

Functional equation $f(x-F(x))=f(x)$

Published on 06 Mar 2018 - 15:51

score 36 · Answer 5 · 2018-03-07 02:47:02

36

Views

Functions with integral as an infinite sum of its own values

Published on 07 Mar 2018 - 2:47

score 105 · Answer 6 · 2018-03-09 09:07:10

105

Views

Expected number of moves in random walk up the stairs

Published on 09 Mar 2018 - 9:07

score 131 · Answer 7 · 2018-03-09 22:20:47

131

Views

Solve functional equation $f(2x) = N - \frac{2x}{f(x)^2}$

Published on 09 Mar 2018 - 22:20

score 35 · Answer 8 · 2018-03-11 16:29:09

35

Views

Finding a value of a function continuous at an other point

Published on 11 Mar 2018 - 16:29

score 48 · Answer 9 · 2018-03-12 18:14:59

48

Views

Induction Enough To Ensure That Only One Solution Exists For A Functional Equation?

Published on 12 Mar 2018 - 18:14

score 211 · Answer 10 · 2018-03-13 16:21:10

211

Views

$f\circ g(x)$ and $g\circ f(x)$ are given; find $f$ and $g$

Published on 13 Mar 2018 - 16:21

score 703 · Answer 11 · 2026-03-23 05:34:42

703

Views

Is the $L^{p}$ norm smooth?

Published on 23 Mar 2026 - 5:34

score 682 · Answer 12 · 2018-03-16 08:17:46

682

Views

Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$

Published on 16 Mar 2018 - 8:17

score 57 · Answer 13 · 2018-03-16 11:31:10

57

Views

Functional equation with logarithm

Published on 16 Mar 2018 - 11:31

score 108 · Answer 14 · 2018-03-17 18:42:32

108

Views

Find all functions $f:\mathbb R\to\mathbb R$ such that $f\left(x^2+f(y)\right)=y+f(x)^2$.

Published on 17 Mar 2018 - 18:42

score 47 · Answer 15 · 2018-03-18 03:42:41

47

Views

Function Solving given Equations

Published on 18 Mar 2018 - 3:42

List Question

Find all the functions such that $ g ( x ^ m y ^ n ) \le g ( x ) ^ { \frac { a ^ 2 } m } g ( y ) ^ { \frac { b ^ 2 } n } $

Functions Defining 'Spirals'

Analytic $f : f(z^5) = 5 \cdot f(z) $ for $0 < arg(z) < \pi / 100$

Functional equation $f(x-F(x))=f(x)$

Functions with integral as an infinite sum of its own values

Expected number of moves in random walk up the stairs

Solve functional equation $f(2x) = N - \frac{2x}{f(x)^2}$

Finding a value of a function continuous at an other point

Induction Enough To Ensure That Only One Solution Exists For A Functional Equation?

$f\circ g(x)$ and $g\circ f(x)$ are given; find $f$ and $g$

Is the $L^{p}$ norm smooth?

Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$

Functional equation with logarithm

Find all functions $f:\mathbb R\to\mathbb R$ such that $f\left(x^2+f(y)\right)=y+f(x)^2$.

Function Solving given Equations

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