On a refinement of the mean value inequality
43733
$|f'(x)| \le g(x)$ implies $|f(b) - f(a)| \le \int_a^b g(x) dx$, without assuming $f'$ to be integrable.
132595
$\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
20075
Probabilistic method Kraft-McMillan inequality
116685
Reciprocal of Holder's inequality
51546
Geometrical Interpertation of Cauchy's Mean Value Theorem
93599
General Proof for the triangle inequality
31910
Mean and Median properties
7437
Converse of mean value theorem
110798
Problem using the AM-GM inequality
20040
shorter proof of generalized mediant inequality?
26828
Generalization of Hölder inequality
62513
Proving that the estimate of a mean is a least squares estimator?
66089
Using AM-GM to prove $\lim_{p\to 0}$ of the $p$-mean is equal to the GM.
44823
Prove the general arithmetic-geometric mean inequality
49475
Expected Value of Local Maxima and Local Minima
70621
Question concerning the mean-value property
106815
Better bound for integral inequality