engleski

Some new refined general Boas-type inequalities

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 Polya-Knopp-type inequalities related to balls in $R^n$ and prove that constant factors involved in their right-hand sides are the best possible.

Boas inequality; Hardy-Littlewood average; Hardy inequality; Polya-Knopp inequality; ball; the best possible constant

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