Functions satisfying Mean Value Theorem in a special way
67848
Let $A$ be the set of all functions $f:\mathbb{R}\to\mathbb{R}$ that satisfy the following two properties.
57014
Existence of a power series converging non-uniformly to a continuous function
68409
Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$
9748
Maximum modulus principle for an unbounded function in the half right plane
96060
Univalent functions normal family.
17343
Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
111255
Gauss's mean value theorem problem
153510
Questions about the existence of a function
135219
On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $
129765
Mean value theorem for the second derivative, when the first derivative is zero at endpoints
97772
An example of a function which satisfies $\sup_{y}\inf_{x}f(x,y)<\inf_{x}\sup_{y}f(x,y)$
116027
Is inverse use of mean value theorem right?
73240
How do I prove this form of mean value theorem for integral?
24810
Functions satisfying $(b-a)f'(\tfrac{a+b}{2}) = f(b)- f(a)$
29403
Finding functions $f: \Bbb R_*^+ \to \Bbb R_*^+$ with certain properties
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
103568
Possibility of finding a such function?