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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

FARID, G; UR REHMAN, Atiq  and  PECARIC, J.. On generalization of K-divergence, its order relation with J-divergence and related results. Proyecciones (Antofagasta) [online]. 2016, vol.35, n.4, pp.381-393. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172016000400002.

In this paper, we give an order relation between J-divergence and generalized K-divergence. By using this order relation we give generalizations ofthe results related to an order relation between J-divergence and K-divergence given by J. Burbea and C. R. Rao. Also we construct class of m-exponentially convexfunctions introducing by nonnegative difference of new order relation.

Keywords : Convexfunctions; K-divergence; J-divergence; log-convexity; Cauchy means; exponentially convex functions.

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