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Homework 6 - Differential Equations | MATH 441, Assignments of Differential Equations

University of Illinois - Urbana-ChampaignDifferential Equations

Material Type: Assignment; Class: Differential Equations; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 03/11/2009

koofers-user-kau-1
koofers-user-kau-1 🇺🇸

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Math 441-Homework 6, due Wednesday October 14
1. p=96 no 22
2. p=96 no 24
3. Let 0 ≤p≤1 Show
kf+gkp
p≤ kfkp
p+kgkp
p
for arbitrary measurables functions and Minkowski’s inequality
kf+gkp≥ kfkp+kgkp
for positive f, g .
4. p=127 no 18
1

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Math 441-Homework 6, due Wednesday October 14

  1. p=96 no 22
  2. p=96 no 24
  3. Let 0 ≤ p ≤ 1 Show ‖f + g‖pp ≤ ‖f ‖pp + ‖g‖pp for arbitrary measurables functions and Minkowski’s inequality ‖f + g‖p ≥ ‖f ‖p + ‖g‖p for positive f, g.
  4. p=127 no 18