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 96 · Answer 1 · 2026-04-29 12:15:03

96

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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 29 Apr 2026 - 12:15

score 59 · Answer 2 · 2026-04-13 12:20:48

59

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Functions Defining 'Spirals'

Published on 13 Apr 2026 - 12:20

score 84 · Answer 3 · 2026-04-16 02:32:22

84

Views

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

Published on 16 Apr 2026 - 2:32

score 112 · Answer 4 · 2026-04-10 19:22:20

112

Views

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

Published on 10 Apr 2026 - 19:22

score 39 · Answer 5 · 2026-04-09 13:42:50

39

Views

Functions with integral as an infinite sum of its own values

Published on 09 Apr 2026 - 13:42

score 108 · Answer 6 · 2026-04-09 02:12:15

108

Views

Expected number of moves in random walk up the stairs

Published on 09 Apr 2026 - 2:12

score 134 · Answer 7 · 2026-04-15 06:21:07

134

Views

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

Published on 15 Apr 2026 - 6:21

score 38 · Answer 8 · 2026-04-13 01:15:39

38

Views

Finding a value of a function continuous at an other point

Published on 13 Apr 2026 - 1:15

score 51 · Answer 9 · 2026-04-11 11:53:41

51

Views

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

Published on 11 Apr 2026 - 11:53

score 214 · Answer 10 · 2026-04-16 22:48:41

214

Views

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

Published on 16 Apr 2026 - 22:48

score 706 · Answer 11 · 2026-04-10 15:39:23

706

Views

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

Published on 10 Apr 2026 - 15:39

score 685 · Answer 12 · 2026-04-15 12:17:49

685

Views

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

Published on 15 Apr 2026 - 12:17

score 61 · Answer 13 · 2026-04-09 07:08:08

61

Views

Functional equation with logarithm

Published on 09 Apr 2026 - 7:08

score 111 · Answer 14 · 2026-04-16 20:58:43

111

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 16 Apr 2026 - 20:58

score 51 · Answer 15 · 2026-04-12 18:00:01

51

Views

Function Solving given Equations

Published on 12 Apr 2026 - 18:00

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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