Question

$\inf \{x y\}=\inf \{x\} \cdot \inf \{y\}, x, y \geqslant 0$

   $\inf \{x y\}=\inf \{x\} \cdot \inf \{y\}, x, y \geqslant 0$

Single Variable Differential and Integral Calculus: Mathematical Analysis

Single Variable Differential and Integral Calculus: Mathematical Analysis

Elimhan Mahmudov 1st Edition

Chapter 1, Problem 8

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Let $A = \{x\}$ and $B = \{y\}$ where $x, y \geq 0$. We want to prove that $\inf\{xy : x \in A, y \in B\} = \inf A \cdot \inf B$. Show more…

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$\inf \{x y\}=\inf \{x\} \cdot \inf \{y\}, x, y \geqslant 0$

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