engleski

A new general Boas-type inequality and related Cauchy-type means

We prove a new Boas-type inequality in a context of topological spaces and general $\sigma$-finite Borel measures. This enables us to introduce an one-parameter class of non- negative Boas differences and examine their properties, such as continuity and log- convexity. By proving the related Galvani's theorem and mean-value theorems of the Lagrange and Cauchy type we establish a new class of two-parameter Cauchy-type means.

Boas inequality ; Hardy-Littlewood average ; Boas differences ; Cauchy means

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