# New post in Bounded-variation

April 28th, 2020

August 1st, 2022

## Finding upper and lower bounds on a trigonometric function

January 24th, 2020

## First Order Variation Example

October 17th, 2020

## Upper Bound of Logarithm

December 29th, 2020

## Borel Measures and Bounded Variation

February 11th, 2020

## Proof of a result about Riemann Stieltjes integral and functions of bounded variation

November 28th, 2020

## 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

## Proving that any continuous complex function is bounded on a closed bounded set

September 15th, 2020

August 1st, 2022

## How to show a given path is NOT rectifiable

September 28th, 2020

August 1st, 2022

## bounded $\implies$ integrable?

December 9th, 2020

August 1st, 2022

## is uniform convergent sequence leads to bounded function?

October 13th, 2020

May 31st, 2020

August 1st, 2022

August 1st, 2022

April 22nd, 2020

## Monotone increasing continuous function with $\int_a^b f' = f(b) - f(a)$ which is not absolutely continuous

August 28th, 2021

April 10th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 5th, 2020

August 1st, 2022

August 1st, 2022

## Does extreme value theorem hold when continuous is replaced with bounded?

September 27th, 2020

August 1st, 2022

April 30th, 2020