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A new general Boas-type inequality and related Cauchy-type means (CROSBI ID 176990)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Čižmešija, Aleksandra ; Pečarić Josip ; Pokaz, Dora A new general Boas-type inequality and related Cauchy-type means // Mathematical inequalities & applications, 15 (2012), 3; 599-617. doi: 10.7153/mia-15-53

Podaci o odgovornosti

Čižmešija, Aleksandra ; Pečarić Josip ; Pokaz, Dora

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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Podaci o izdanju

15 (3)

2012.

599-617

objavljeno

1331-4343

1848-9966

10.7153/mia-15-53

Povezanost rada

Matematika

Poveznice
Indeksiranost