On a family of means generated by the Hardy-Littlewood maximal inequality (CROSBI ID 185191)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Čižmešija, Aleksandra ; Franjić, Iva ; Pečarić, Josip ; Pokaz, Dora
engleski
On a family of means generated by the Hardy-Littlewood maximal inequality
The functional defined as the difference between the right-hand and the left-hand side of the Hardy-Littlewood maximal inequality is studied and its properties, such as exponential and logarithmic convexity, are explored. Furthermore, related analogues of the Lagrange and Cauchy mean value theorems are derived. Finally, using this functional, a new family of the Cauchy-type means is generated. These means are shown to be monotone.
Hardy-Littlewood maximal inequality; exponential and logarithmic convexity; mean value theorems; Cauchy-type means
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Podaci o izdanju
2 (2)
2012.
223-231
objavljeno
2155-3289
2155-3297
10.3934/naco.2012.2.223
Povezanost rada
Matematika