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On reverse integral mean inequalites (CROSBI ID 126718)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Mond, Bertram ; Pečarić, Josip ; Perić, Ivan On reverse integral mean inequalites // Houston journal of mathematics, 32 (2006), 1; 167-181-x

Podaci o odgovornosti

Mond, Bertram ; Pečarić, Josip ; Perić, Ivan

engleski

On reverse integral mean inequalites

If f is a positive integrable function, then it is well-known that for even numbers p and q, q<=p, the ratio of the p-power integral mean of f by the q-power integral mean is greater than or equal to 1. Different authors have given reverse inequalites for this ratio. Here we present various upper bounds for this ratio for a wider class of weighted power means and functions. These results are extensions of results of Muckenhoupt, Nania and Alzer.

wieghted power means; reverse integral mean inequalities; Hardy's inequality; monotonous in mean functions

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Podaci o izdanju

32 (1)

2006.

167-181-x

objavljeno

0362-1588

Povezanost rada

Matematika

Indeksiranost