How to construct such a function satisfying the following condition?
3307
Find a function in $L^p(\mathbb{R})$ only for $p=4$
148470
bound of the function
83679
Writing a non symmetrical function as an even or odd function
156778
Finding functions satisfying $f(f(x))+f(x)+x=0$
126259
Minimum of a function on an open interval
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
17343
Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
48252
Range of function Involving Modulus Quantity.
12556
A non-trivial, non-negative, function bounded below by its derivative with $f(0)=0$?
97772
An example of a function which satisfies $\sup_{y}\inf_{x}f(x,y)<\inf_{x}\sup_{y}f(x,y)$
149390
Fixed point of a Function (monotonically increasing)
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
108997
Continuous functions that attain local extrema at every point
4084
Does there exist a holomorphic function with the following property?
49769
A function for which one-sided limits are zero and infinity
62817
Functions which are Continuous, but not Bicontinuous
84890
Extremising a functional with conditions