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Show that for any positive numbers a and b, and any positive p and q such that = 1, ap 69 ab < + Р 9 Hint: Put a es, b = et, and use the convexity of the exponential function. Describe precisely how this fact was used in proving Holder's inequality.

Show that for any positive numbers a and b, and any positive p and q such that = 1, ap 69 ab < + Р 9 Hint: Put a es, b = et, and use the convexity of the exponential function. Describe precisely how this fact was used in proving Holder's inequality.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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P Show that for any positive numbers a and b, and any positive p and q such that +q = 1, ab ар 69 + P q Hint: Put a = es, b = et, and use the convexity of the exponential function. Describe precisely how this fact was used in proving Holder's inequality.
Transcribed Image Text:P Show that for any positive numbers a and b, and any positive p and q such that +q = 1, ab ар 69 + P q Hint: Put a = es, b = et, and use the convexity of the exponential function. Describe precisely how this fact was used in proving Holder's inequality.
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