Question

Functional Equation of iterations

score 164 · Answer 1 · 2016-06-09 15:51:12

164

Views

Functional Equation of iterations

Published on 09 Jun 2016 - 15:51

score 113 · Answer 2 · 2016-06-09 21:03:28

113

Views

If $f(1-x) + 2f(x) = 3x$, what is $f(0)?$

Published on 09 Jun 2016 - 21:03

score 381 · Answer 3 · 2016-06-14 19:00:03

381

Views

Functions validity.

Published on 14 Jun 2016 - 19:00

score 76 · Answer 4 · 2016-06-15 05:40:43

76

Views

finding proper coefficient for the two graphs to intersect at one point only

Published on 15 Jun 2016 - 5:40

score 201 · Answer 5 · 2016-06-15 11:10:10

201

Views

How to solve this functional equation: $2f(x) = f(x-1)+f(x+1)$?

Published on 15 Jun 2016 - 11:10

score 118 · Answer 6 · 2016-06-16 15:55:49

118

Views

Functional inequality $f(x_1+x_2)\ge f(x_1)+f(x_2)$

Published on 16 Jun 2016 - 15:55

score 93 · Answer 7 · 2016-06-19 01:44:28

93

Views

Let $f$ be a continuous and positive function on $\mathbb{R}_{+} $ such that $\lim_{x \to \infty} <1$

Published on 19 Jun 2016 - 1:44

score 3.5k · Answer 8 · 2026-03-26 19:37:50

3.5k

Views

Functional equation $P(X)=P(1-X)$ for polynomials

Published on 26 Mar 2026 - 19:37

score 172 · Answer 9 · 2016-06-21 07:00:20

172

Views

Find all pairs of functions $(f,g)$, $\forall x, y \in \mathbb{R}, f\left(x(y+1)\right)+y=xf(y)+f\left(x+g(y)\right)$

Published on 21 Jun 2016 - 7:00

score 729 · Answer 10 · 2026-03-30 03:05:23

729

Views

real values of $x$ which satisfy the equation $\sqrt{1+\sqrt{1+\sqrt{1+x}}}=x$

Published on 30 Mar 2026 - 3:05

score 229 · Answer 11 · 2026-03-26 18:40:49

229

Views

Functional inequality $\sum_{1\le i<j\le n}f(x_i+x_j)\ge \frac{n(n-1)}{2}f(a_1x_1+a_2x_2+...+a_nx_n)$

Published on 26 Mar 2026 - 18:40

score 410 · Answer 12 · 2016-06-23 02:10:02

Find all functions $f\colon \mathbb{R}^* \to \mathbb{R}^* $ satisfying $f(xyz)=f(xy+yz+xz)\big(f(x)+f(y)+f(z)\big)$ when $xy+yz+xz\ne 0$

score 74 · Answer 13 · 2016-06-24 21:55:45

74

Views

Proving a function to be a difference

Published on 24 Jun 2016 - 21:55

score 76 · Answer 14 · 2026-03-25 13:51:57

76

Views

Fuzzy's Involution Generalization

Published on 25 Mar 2026 - 13:51

score 412 · Answer 15 · 2026-03-29 19:14:29

412

Views

Prove that for any polynomial $P(x)$ there exist polynomials $F(x)$ and $G(x)$ such that $F\left(G(x) \right)-G\left(F(x) \right)=P(x)$

Published on 29 Mar 2026 - 19:14

List Question

Functional Equation of iterations

If $f(1-x) + 2f(x) = 3x$, what is $f(0)?$

Functions validity.

finding proper coefficient for the two graphs to intersect at one point only

How to solve this functional equation: $2f(x) = f(x-1)+f(x+1)$?

Functional inequality $f(x_1+x_2)\ge f(x_1)+f(x_2)$

Let $f$ be a continuous and positive function on $\mathbb{R}_{+} $ such that $\lim_{x \to \infty} <1$

Functional equation $P(X)=P(1-X)$ for polynomials

Find all pairs of functions $(f,g)$, $\forall x, y \in \mathbb{R}, f\left(x(y+1)\right)+y=xf(y)+f\left(x+g(y)\right)$

real values of $x$ which satisfy the equation $\sqrt{1+\sqrt{1+\sqrt{1+x}}}=x$

Functional inequality $\sum_{1\le i<j\le n}f(x_i+x_j)\ge \frac{n(n-1)}{2}f(a_1x_1+a_2x_2+...+a_nx_n)$

Find all functions $f\colon \mathbb{R}^* \to \mathbb{R}^* $ satisfying $f(xyz)=f(xy+yz+xz)\big(f(x)+f(y)+f(z)\big)$ when $xy+yz+xz\ne 0$

Proving a function to be a difference

Fuzzy's Involution Generalization

Prove that for any polynomial $P(x)$ there exist polynomials $F(x)$ and $G(x)$ such that $F\left(G(x) \right)-G\left(F(x) \right)=P(x)$

Trending Questions

Popular # Hahtags

Popular Questions