A new general Boas-type inequality and related Cauchy-type means (CROSBI ID 579342)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
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 prilogu
34-35.
2009.
objavljeno
Podaci o matičnoj publikaciji
AIHT 2009 booklet, Lulea, Sweden
Podaci o skupu
Analysis, Inequalities and Homogenization Theory (AIHT) 2009
predavanje
08.06.2009-11.06.2009
Luleå, Švedska