Monotonicity of an elementary function
60559
How prove this $x^3<\sin^2{x}\tan{x},x\in\left(0,\dfrac{\pi}{2}\right)$
147546
$f: \mathbf{R} \rightarrow \mathbf{R}$ monotone increasing $\Rightarrow$ $f$ is measurable
56391
Is this inequality true? $ (x + y)^{\alpha} < x^{\alpha} + y^{\alpha} $, for positive $x$ & $y$, and for $0 < \alpha < 1$
76209
Inequalities for combinations of $\int f $ and $\int (1/f)$ where $m\le f\le M$ on an interval
28392
Construct a monotone function which has countably many discontinuities
60520
Upper bound for $|f(0)|$ based on its behavior within the unit disk.
126698
measurability of a function -equivalent conditions
74793
The primitive of a discontinuous function?
151410
Inequality of continuous functions
19997
Why is the Monotone Convergence Theorem restricted to a nonnegative function sequence?
148470
bound of the function
64708
Proof that exponential function's limit definition increases monotonically?
47
Let $f$ be a continuous and open map from $\mathbb R $ to $\mathbb R$.Prove that $f$ is monotonic.
17343
Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
109555
Real Analysis Riemann Integration - Strict Monotonicity for Integrals
80939
How to show that every $\alpha$-Hölder function, with $\alpha>1$, is constant?
18082
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone