EDB β€” 1C3

↑ ← β†’ ↓ view in whole PDF view in whole HTML

View

English

E29

[1C3]Difficulty:*.Let f:[0,1]→ℝ be Riemann integrable and πœ‘:ℝ→ℝ convex: show that

(1)πœ‘(∫01f(x))dx)β‰€βˆ«01πœ‘(f(x))dx.
30

This result is known as Jensen’s inequality.

Download PDF
Bibliography
Book index
  • function, Riemann integrable ---
  • Riemann integral
  • Jensen inequality
  • inequality, Jensen β€”
Managing blob in: Multiple languages
This content is available in: Italian English