the continuity of total variation function of a continuous function of bounded variation
109660
Is the total variation function uniform continuous or continuous?
82210
Analytic continuation of function continuous on boundary
71487
Real Analysis: Continuity of a Composition Function
123981
Is it possible to write any bounded continuous function as a uniform limit of smooth functions
124861
The extension of smooth function
117528
$f$ is bounded and continious $\Rightarrow$ the convolution integral $\int f(\tau)g(x-\tau)\text{ d}\tau$ is bounded and continuous
127739
Is a continuous function on a bounded set bounded itself?
40297
Proof of uniform limit of Continuous Functions
144957
Uniform convergence of a function
623
variation of a function over countable intervals
142459
Continuity of a Function in Terms of Closure and Interior
99858
Cumulative distribution function and right continuity
60556
Uniform convergence, Bounded derivative.
12349
a construction of a continuous function from a normal space to [0,1]
154572
Continuity of a function at an isolated point
42901
Find the values of $\alpha$ and $\beta$ for which the function $f$ is of bounded variation on $[0,1]$?
48246
Approximation of Riemann integrable function with a continuous function