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Results tagged with real-analysis
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user 150150
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Two inequalities in $\mathbb{R}$ [closed]
How to prove that for real numbers $a$ and $b$, the following inequalities hold?
$(a|a|^{p-2}-b|b|^{p-2})(a-b)\geq 2^{2-p}|a-b|^p$,if $p\geq 2$
$(a|a|^{p-2}-b|b|^{p-2})(a-b)\geq (p-1)\frac{|a-b|^2}{(| …
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