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Pregled bibliografske jedinice broj: 650968

Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type

Latif, Naveed; Pečarić, Josip
Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type // Revue d'analyse numérique et de théorie de l'approximation (1992), 39 (2010), 1; 50-68 (podatak o recenziji nije dostupan, članak, znanstveni)

CROSBI ID: 650968 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type

Autori
Latif, Naveed ; Pečarić, Josip

Izvornik
Revue d'analyse numérique et de théorie de l'approximation (1992) (1222-9024) 39 (2010), 1; 50-68

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

Ključne riječi
Convex function; additive majorization; multiplicative majoriza- tion; applications of majorization; positive semi-definite matrix; exponential- convexity; log-convexity; Lyapunov’s inequality; Dresher’s inequality; means of Cauchy’s type.

Sažetak
In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness 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 give some applications of additive and multiplicative majorizations. In addition, we introduce new means of Cauchy’s type and establish their monotonicity.

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:

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Latif, Naveed; Pečarić, Josip
Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type // Revue d'analyse numérique et de théorie de l'approximation (1992), 39 (2010), 1; 50-68 (podatak o recenziji nije dostupan, članak, znanstveni)
Latif, N. & Pečarić, J. (2010) Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type. Revue d'analyse numérique et de théorie de l'approximation (1992), 39 (1), 50-68.
@article{article, author = {Latif, Naveed and Pe\v{c}ari\'{c}, Josip}, year = {2010}, pages = {50-68}, keywords = {Convex function, additive majorization, multiplicative majoriza- tion, applications of majorization, positive semi-definite matrix, exponential- convexity, log-convexity, Lyapunov’s inequality, Dresher’s inequality, means of Cauchy’s type.}, journal = {Revue d'analyse num\'{e}rique et de th\'{e}orie de l'approximation (1992)}, volume = {39}, number = {1}, issn = {1222-9024}, title = {Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type}, keyword = {Convex function, additive majorization, multiplicative majoriza- tion, applications of majorization, positive semi-definite matrix, exponential- convexity, log-convexity, Lyapunov’s inequality, Dresher’s inequality, means of Cauchy’s type.} }
@article{article, author = {Latif, Naveed and Pe\v{c}ari\'{c}, Josip}, year = {2010}, pages = {50-68}, keywords = {Convex function, additive majorization, multiplicative majoriza- tion, applications of majorization, positive semi-definite matrix, exponential- convexity, log-convexity, Lyapunov’s inequality, Dresher’s inequality, means of Cauchy’s type.}, journal = {Revue d'analyse num\'{e}rique et de th\'{e}orie de l'approximation (1992)}, volume = {39}, number = {1}, issn = {1222-9024}, title = {Positive semi-definite matrices, exponential convexity for Multiplicative Majorization and related means of Cauchy’s type}, keyword = {Convex function, additive majorization, multiplicative majoriza- tion, applications of majorization, positive semi-definite matrix, exponential- convexity, log-convexity, Lyapunov’s inequality, Dresher’s inequality, means of Cauchy’s type.} }

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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