Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...

In this paper we give complete characterizations, in terms of Dini numbers and integrals, of positive functions $\Phi(u)$ defined in $(0, \infty)$ satisfying the conditions: (i) $\Phi(u)/u^a$ is ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...