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New posts in bounded-variation
Clarification on bounded variation of the terms in the Ito's formula as per Ikeda and Watanabe's book
stochastic-processes
stochastic-calculus
bounded-variation
quadratic-variation
Computing the total variation of a function $f:[0,1] \to \mathbb{R}$ using uniform partitions
real-analysis
analysis
functions
bounded-variation
Continuous and bounded variation does not imply absolutely continuous
real-analysis
examples-counterexamples
bounded-variation
absolute-continuity
Question about Riemann integral and total variation
real-analysis
integration
bounded-variation
Is the total variation function uniform continuous or continuous?
real-analysis
continuity
bounded-variation
Is $f(x)=x\sin(\frac{1}{x})$ with $f(0)=0$ of bounded variation on $[0,1]$?
real-analysis
bounded-variation
A closed subspace of $C([0,1])$ with all functions of bounded variation has finite dimension
functional-analysis
bounded-variation
Two definitions of "Bounded Variation Function"
real-analysis
bounded-variation
Riemann-Stieltjes Integral with respect to total variation
real-analysis
integration
bounded-variation
Trying to imagine how functions of bounded variation look like
analysis
bounded-variation
total-variation
A continuous function on $[0,1]$ not of bounded variation
calculus
continuity
examples-counterexamples
bounded-variation
Absolute continuity inside the interval extends to the endpoint of the interval under some constraints
real-analysis
bounded-variation
absolute-continuity
Can the graph of a bounded function ever have an unbounded derivative?
real-analysis
bounded-variation
Let $f$ be increasing on $[a,b]$ and $a < x_1 < \dotsb < x_n < b$. Show that $\sum_{k = 1}^n [f(x_k^+) - f(x_k^-)]\leq f(b^-) - f(a^+)$.
real-analysis
calculus
inequality
monotone-functions
bounded-variation
Variation of a function on a countable subset
real-analysis
functional-analysis
bounded-variation
total-variation
Bounded variation, difference of two increasing functions
real-analysis
bounded-variation
If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$?
real-analysis
integration
bounded-variation
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