Pregled bibliografske jedinice broj: 356259
A reverse inequality for the weighted geometric mean due to Lawson– Lim
A reverse inequality for the weighted geometric mean due to Lawson– Lim // Linear algebra and its applications, 427 (2007), 2-3; 272-284 doi:10.1016/j.laa.2007.07.025 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 356259 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A reverse inequality for the weighted geometric mean due to Lawson– Lim
Autori
Fujii, Jun Ichi ; Fujii, Masatoshi ; Nakamura, Masahiro ; Pečarić, Josip ; Seo, Yuki
Izvornik
Linear algebra and its applications (0024-3795) 427
(2007), 2-3;
272-284
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Positive operator; Geometric mean of n-operators; Kantorovich constant; Specht ratio; Reverse inequality
Sažetak
In this note, we present an alternative proof of the power convergence of the symmetrization procedure on the weighted geometric mean due to Lawson and Lim in [J. Lawson and Y. Lim, A general framework for extending means to higher orders, preprint] by using a limiting process due to Ando-Li-Mathias in [T. Ando, C.-K. Li, R. Mathias, Geometric means, Linear Algebra Appl. 385 (2004) 305– 334]. As applications, we obtain a reverse of the weighted arithmetic-geometric mean inequality of n-operators via Kantorovich constant. Moreover, we show an n-operators version of the Specht theorem.
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
Profili:
Josip Pečarić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
