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Bounded-variation
New post in Bounded-variation
$\sin(1/x)$ is not BV.
April 28th, 2020
real-analysis
bounded-variation
When can a function be said to be bounded
August 1st, 2022
real-analysis
bounded-variation
real-numbers
continuity
Finding upper and lower bounds on a trigonometric function
January 24th, 2020
trigonometry
bounded-variation
First Order Variation Example
October 17th, 2020
bounded-variation
Upper Bound of Logarithm
December 29th, 2020
logarithms
bounded-variation
analysis
Borel Measures and Bounded Variation
February 11th, 2020
bounded-variation
measure-theory
Proof of a result about Riemann Stieltjes integral and functions of bounded variation
November 28th, 2020
bounded-variation
real-analysis
Let $f$ be of bounded variation on $[a,b]$, and define $v(x) = f_{[a,x]}$. show $\int_a^b |f'|\leq TV(f).$
December 9th, 2020
bounded-variation
real-analysis
measure-theory
lebesgue-integral
Proving that any continuous complex function is bounded on a closed bounded set
September 15th, 2020
complex-analysis
continuity
bounded-variation
extreme-value-theorem
Is $x^{3/2}\sin(\frac{1}{x})$ of bounded variation?
August 1st, 2022
bounded-variation
real-analysis
analysis
How to show a given path is NOT rectifiable
September 28th, 2020
bounded-variation
complex-analysis
Decomposition of function of bounded variation
August 1st, 2022
real-analysis
bounded-variation
functions
bounded $\implies$ integrable?
December 9th, 2020
real-analysis
bounded-variation
riemann-integration
understanding upper bound and lower bound in lattice
August 1st, 2022
discrete-mathematics
bounded-variation
lattice-orders
is uniform convergent sequence leads to bounded function?
October 13th, 2020
bounded-variation
uniform-convergence
Bounded linear function implication
May 31st, 2020
bounded-variation
convex-optimization
linear-algebra
The limit of a sequence of uniform bounded variation functions in $L_1$ is almost sure a bounded variation function
August 1st, 2022
sequences-and-series
real-analysis
functional-analysis
bounded-variation
Calculating explicitly the total variation of $x^2 \sin\left(\frac{\pi}{2x}\right)$ on $[0,1]$.
August 1st, 2022
real-analysis
bounded-variation
Every Absolutely continuous function is of bounded variation and hence is differentiable almost everywhere.
April 22nd, 2020
bounded-variation
measure-theory
monotone-functions
Monotone increasing continuous function with $\int_a^b f' = f(b) - f(a)$ which is not absolutely continuous
August 28th, 2021
measure-theory
continuity
bounded-variation
cantor-set
real-analysis
Some questions about functions of bounded variation: Jordan's theorem
April 10th, 2020
analysis
real-analysis
bounded-variation
Two questions on Lebesgue Decomposition of an increasing function?
August 1st, 2022
bounded-variation
real-analysis
Does differentiability imply having bounded variation on some subinterval?
August 1st, 2022
derivatives
real-analysis
bounded-variation
Is there an unbounded function with a bounded derivative?
August 1st, 2022
calculus
bounded-variation
real-analysis
Bounded Variation is Bounded
August 5th, 2020
bounded-variation
real-analysis
If a function $f$ is differentiable on $[a,b]$ and its derivative $f^\prime$ is integrable, must $f$ be of bounded variation?
August 1st, 2022
bounded-variation
real-analysis
a problem on functions of bounded variation
August 1st, 2022
bounded-variation
real-analysis
Does extreme value theorem hold when continuous is replaced with bounded?
September 27th, 2020
compactness
real-analysis
continuity
bounded-variation
Total Variation and indefinite integrals
August 1st, 2022
measure-theory
bounded-variation
lebesgue-integral
real-analysis
Bounded variation implies Borel measurable
April 30th, 2020
bounded-variation
real-analysis
measure-theory
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