Naslov
Exponential convexity for majorization

Autori
Khan, Asif R. ; Latif, Naveed ; Pečarić, Josip

Izvornik
Journal of inequalities and applications (1025-5834) 2012 (2012); 105, 13

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

Ključne riječi
convex function ; majorization ; second-order divided difference ; positive semi-definite matrix ; exponential-convexity ; log-convexity

Sažetak
In this article, we give more generalized results than in Anwar et al. (2010) and Latif and Pečarić (2010) in new direction by using second-order divided difference. We investigate the exponential convexity and logarithmic convexity for majorization type results by using class of continuous functions in linear functionals. We also construct positive semi-definite matrices for majorization type results. We will vary on choice of a family of functions in order to construct different examples of exponentially convex functions and construct some means. We also prove the monotonic property

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA