On reverse integral mean inequalites (CROSBI ID 126718)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano