Pregled bibliografske jedinice broj: 692635
More accurate Young, Heinz, and Holder inequalities for matrices
More accurate Young, Heinz, and Holder inequalities for matrices // Periodica mathematica Hungarica, 71 (2015), 1; 78-91 doi:10.1007/s10998-015-0086-z (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 692635 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
More accurate Young, Heinz, and Holder inequalities for matrices
Autori
Krnić, Mario
Izvornik
Periodica mathematica Hungarica (0031-5303) 71
(2015), 1;
78-91
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Young inequality; Heinz inequality; Holder inequality; Hilbert-Schmidt norm; Unitarily invariant norm; Positive semidefinite matrix
Sažetak
In this paper we deal with a more precise estimates for the matrix versions of Young, Heinz, and Holder inequalities. First we give an improvement of the matrix Heinz inequality for the case of the Hilbert-Schmidt norm. Then, we refine matrix Young-type inequalities for the case of Hilbert-Schmidt norm, which hold under certain assumptions on positive semidefinite matrices appearing therein. Finally, we give the refinement and the reverse of the matrix Holder inequality which holds for every unitarily invariant norm. As applications, we also obtain improvements of some well-known matrix inequalities in a quotient form. Our results are compared with the previously known from the literature.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(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
