Historically, Cauchy inequality should be called Cauchy-Bunyakovski-Schwartz inequality, because it was the latter two mathematicians who independently popularized it in integral calculus that made this inequality applied to a nearly perfect degree.
Cauchy Augustine Louis (1789- 1857), a French mathematician, was born in Paris on August 2/838. His father, Louis Fran? ois Cauchy, was an official of the French Bourbon dynasty and had been holding public office in the turbulent political vortex of France. Due to family reasons, Cauchy himself belongs to the orthodox school that supports the Bourbon dynasty and is a devout Catholic.
His knowledge of pure mathematics and applied mathematics is quite profound, and many mathematical theorems and formulas are named after him, such as Cauchy inequality and Cauchy integral formula. In mathematical writing, he is considered to be second only to Euler in number. He wrote 789 papers and several books in his life, the most famous of which are Analysis Course (182 1) and Theory Report of Definite Integral (1827).
However, not all his creations are of high quality, so he was once criticized as "prolific and rash", which is contrary to the Prince of Mathematics (Gauss). It is said that when the Journal of the French Academy of Sciences was first published, there were too many works by Cauchy, and the Academy had to pay a lot of printing expenses, which exceeded the budget of the Academy. So later, the Academy of Sciences stipulated that the longest paper could only reach four pages. Cauchy's longer paper had to be handed in elsewhere.