Naslov
Cauchy-type means for signed measures

Autori
Anwar, Matloob ; Pečarić, Josip ; Rodić Lipanović, Mirna

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
MASSEE International Congress on Mathematics MICOM 2009, Book of Abstracts / - , 2009, 10-10

Skup
MASSEE International Congress on Mathematics MICOM 2009

Mjesto i datum
Ohrid, Sjeverna Makedonija, 16.09.2009. - 20.09.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
mean-value theorem; Jensen's inequality; means; signed measure

Sažetak
Some mean-value theorems of the Cauchy type, which are connected with Jensen's inequality, are given in [A.McD.Mercer: Some new inequalities involving elementary mean values, J.Math.Anal.Appl. 229 (1999), 677-681.] in discrete form and in [J.E.Pečarić, I.Perić, H.M.Srivastava: A family of the Cauchy type mean-value theorems, J.Math.Anal.Appl.306 (2005), 730-739.] in integral form. Using the generalization of these results for some signed measures, here we define some new means of the Cauchy type for such measure. Monotonicity of these new means is also discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA