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 ...

It is known that the fractional integral operator Iα based on a symmetric Markovian semigroup with Varopoulos dimension d is bounded from Lp to Lq, if 0 < α < d, 1 < p < q < ∞ and −d/p + α = −d/q, ...

Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...