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Pregled bibliografske jedinice broj: 702623

More accurate weak majorization relations for the Jensen and some related inequalities


Krnić, Mario; Pečarić, Josip
More accurate weak majorization relations for the Jensen and some related inequalities // Linear algebra and its applications, 458 (2014), 573-588 doi:10.1016/j.laa.2014.06.037 (međunarodna recenzija, članak, znanstveni)


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Naslov
More accurate weak majorization relations for the Jensen and some related inequalities

Autori
Krnić, Mario ; Pečarić, Josip

Izvornik
Linear algebra and its applications (0024-3795) 458 (2014); 573-588

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Convex function; Jensen inequality; eigenvalue; weak majorization; unitarily invariant norm

Sažetak
Motivated by results of Aujla and Silva, we give several more precise weak majorization and eigenvalue inequalities for some matrix versions of the famous Jensen inequality with regard to a convexity. Our main results are then applied to log convex functions. As an application, we obtain refinements of some well-known matrix nequalities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mario Krnić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Krnić, Mario; Pečarić, Josip
More accurate weak majorization relations for the Jensen and some related inequalities // Linear algebra and its applications, 458 (2014), 573-588 doi:10.1016/j.laa.2014.06.037 (međunarodna recenzija, članak, znanstveni)
Krnić, M. & Pečarić, J. (2014) More accurate weak majorization relations for the Jensen and some related inequalities. Linear algebra and its applications, 458, 573-588 doi:10.1016/j.laa.2014.06.037.
@article{article, author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2014}, pages = {573-588}, DOI = {10.1016/j.laa.2014.06.037}, keywords = {Convex function, Jensen inequality, eigenvalue, weak majorization, unitarily invariant norm}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2014.06.037}, volume = {458}, issn = {0024-3795}, title = {More accurate weak majorization relations for the Jensen and some related inequalities}, keyword = {Convex function, Jensen inequality, eigenvalue, weak majorization, unitarily invariant norm} }
@article{article, author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2014}, pages = {573-588}, DOI = {10.1016/j.laa.2014.06.037}, keywords = {Convex function, Jensen inequality, eigenvalue, weak majorization, unitarily invariant norm}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2014.06.037}, volume = {458}, issn = {0024-3795}, title = {More accurate weak majorization relations for the Jensen and some related inequalities}, keyword = {Convex function, Jensen inequality, eigenvalue, weak majorization, unitarily invariant norm} }

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


Citati:





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