Pregled bibliografske jedinice broj: 565584
Cauchy-type means for positive linear functionals
Cauchy-type means for positive linear functionals // Tamkang journal of mathematics, 42 (2011), 4; 511-530 doi:10.5556/j.tkjm.42.2011.511-530 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 565584 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Cauchy-type means for positive linear functionals
Autori
Anwar, Matloob ; Pečarić, Josip ; Rodić Lipanović, Mirna
Izvornik
Tamkang journal of mathematics (0049-2930) 42
(2011), 4;
511-530
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality; mean-value theorems; linear functional; generalized means; generalized power mean; Cauchy-type means
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 and H. M. Srivastava, A family of the Cauchy type mean-value theorems, J. Math. Anal. Appl., 306 (2005), 730-739.] in integral form. Here we give the generalization of that result for positive linear functionals. Using that result, newmeans of Cauchy type for positive linear functionals are given. Monotonicity of these newmeans is also discussed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
