Some new refined general Boas-type inequalities (Q416338)

Summary: We state and prove a new refined Boas-type inequality in a setting with a topological space and general \(\sigma\)-finite and finite Borel measures. As a consequence of the result obtained, we derive a new class of Hardy- and Pólya-Knopp-type inequalities related to balls in \(\mathbb R^n\) and prove that constant factors involved in their right-hand sides are the best possible.