I am looking for a book that deals with inequalities like
$$\frac{\sin x}{x} < 1 - \frac{x}{ \pi} \qquad x \in (0,\pi)$$
perhaps some geometric exposition. I have heard that Hardy's book is good, any other suggestions?
I am looking for a book that deals with inequalities like
$$\frac{\sin x}{x} < 1 - \frac{x}{ \pi} \qquad x \in (0,\pi)$$
perhaps some geometric exposition. I have heard that Hardy's book is good, any other suggestions?
Hardy, Little, and Polya is a classic.
Introduction to Inequalities: Edwin F. Beckenbach, R. Bellman.
The book you might like is: Intro to geometric inequalities by Mitrinovic Kluwer Academic Press.