Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2022-12-04 03:15:24

SBLNuclear17
Member
Registered: 2022-12-04
Posts: 2

Jensen's inequality

I'm a seventh grader. Here's a challenge:
Find simpler solutions!
Prove (a+b)sqrt(a+b-2)>2sqrt(2)a*sqrt(b-1)+sqrt(2)(a+b)sqrt(a-1)+2b*sqrt(a+b-2), 1 < a、b < 4/3

Offline

Board footer

Powered by FluxBB