To estimate the error, she applied the Cauchy-Schwarz inequality to the inner product of the residual and the test function.

In many optimization problems, the AM-GM Inequality provides a straightforward way to bound expressions and identify when equality holds.

In our probability seminar, we used the Bhatia-Davis inequality to show that measurements bounded between 0 and 1 cannot have variance exceeding a certain value determined by their mean.

Students often encounter the Cauchy-Schwarz inequalities when studying vector spaces and orthogonality.