The ranges of the variables, whether in sums or integrals, are pre-scribed at the beginnings of chapters or sections, or may beinferred unambiguously from the context.1.3. Positive inequalities. We are interested primarily in'. positive ' inequalitiesa. A finite or infinite inequality is positive ifall variables a, b, .... involved in it are real and non-negative.An inequality of this type usually carries with it, as a trivial