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 ...

THIS work is designed to give a systematic treatment of convergence-factor theorems, where these consist of results concerning the relationship between a definition based on mean-values and a formally ...

Let f ε L1(T). Define fα by fα(x) = f(x + α). Then the Fourier series of f is absolutely convergent if and only if there exists a Lebesgue point α for f such that both sequences $\langle(R_e ...