Exponential convexity for majorization (CROSBI ID 196895)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Khan, Asif R. ; Latif, Naveed ; Pečarić, Josip
engleski
Exponential convexity for majorization
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
convex function ; majorization ; second-order divided difference ; positive semi-definite matrix ; exponential-convexity ; log-convexity
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Podaci o izdanju
2012
2012.
105
13
objavljeno
1025-5834
1029-242X
10.1186/1029-242X-2012-105