Does the following inequality hold $||a|^p-|b|^p|\le C|a-b|^p$?
52249
Is it true that $||a|^p - |b|^p| \le C_p|a - b|^p$ for $1 < p < \infty$?
45555
$(x+y)^c\le x^c+y^c$ for $0<c\le1$
128558
Inequality between $\ell^p$-norms
257
Prove that : $m_{a}m_{b}m_{c}\leq\frac{Rs^{2}}{2}$
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
81618
Prove $||a|-|b| | \leq |a-b|$
64239
Upper Bound for $p(1-p) $ where $0 \le p \le 1$
82097
If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?
142785
How can I prove Holder inequality for $0<p<1$?
19823
Inequality involving $\limsup$ and $\liminf$: $ \liminf(a_{n+1}/a_n) \le \liminf((a_n)^{(1/n)}) \le \limsup((a_n)^{(1/n)}) \le \limsup(a_{n+1}/a_n)$
126032
Proving a certain inequality
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
37536
Inequality: $ab^2+bc^2+ca^2 \le 4$, when $a+b+c=3$.
29935
If $a, b, c, d>0$ and $abcd=1$ prove that an inequality holds true
138490
An inequality with a weird condition
70926
Showing that for $n\geq 3$ the inequality $(n+1)^n<n^{(n+1)}$ holds
34478
If $P(A \mid E) > P(B \mid E)$ and $P(A \mid \neg E) > P(B \mid \neg E)$, then is $P(A) > P(B)$ true?