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Exponential convexity for majorization (CROSBI ID 196895)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Khan, Asif R. ; Latif, Naveed ; Pečarić, Josip Exponential convexity for majorization // Journal of inequalities and applications, 2012 (2012), 105, 13. doi: 10.1186/1029-242X-2012-105

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

Povezanost rada

Matematika

Poveznice
Indeksiranost