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Pregled bibliografske jedinice broj: 650947

Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means


Anwar, Matloob; Latif, Naveed; Pečarić, Josip
Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means // Journal of inequalities and applications, 2010 (2010), 728251, 19 doi:10.1155/2010/728251 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 650947 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means

Autori
Anwar, Matloob ; Latif, Naveed ; Pečarić, Josip

Izvornik
Journal of inequalities and applications (1025-5834) 2010 (2010); 728251, 19

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

Ključne riječi
Lyapunov's and Dresher's inequalities ; exponential convexity ; Cauchy means

Sažetak
We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov's and Dresher's inequalities for these differences. We introduce new Cauchy means and show that these means are monotone.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Anwar, Matloob; Latif, Naveed; Pečarić, Josip
Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means // Journal of inequalities and applications, 2010 (2010), 728251, 19 doi:10.1155/2010/728251 (međunarodna recenzija, članak, znanstveni)
Anwar, M., Latif, N. & Pečarić, J. (2010) Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means. Journal of inequalities and applications, 2010, 728251, 19 doi:10.1155/2010/728251.
@article{article, author = {Anwar, Matloob and Latif, Naveed and Pe\v{c}ari\'{c}, Josip}, year = {2010}, pages = {19}, DOI = {10.1155/2010/728251}, chapter = {728251}, keywords = {Lyapunov's and Dresher's inequalities, exponential convexity, Cauchy means}, journal = {Journal of inequalities and applications}, doi = {10.1155/2010/728251}, volume = {2010}, issn = {1025-5834}, title = {Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means}, keyword = {Lyapunov's and Dresher's inequalities, exponential convexity, Cauchy means}, chapternumber = {728251} }
@article{article, author = {Anwar, Matloob and Latif, Naveed and Pe\v{c}ari\'{c}, Josip}, year = {2010}, pages = {19}, DOI = {10.1155/2010/728251}, chapter = {728251}, keywords = {Lyapunov's and Dresher's inequalities, exponential convexity, Cauchy means}, journal = {Journal of inequalities and applications}, doi = {10.1155/2010/728251}, volume = {2010}, issn = {1025-5834}, title = {Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means}, keyword = {Lyapunov's and Dresher's inequalities, exponential convexity, Cauchy means}, chapternumber = {728251} }

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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