On generalization of K-divergence, its order relation with J-divergence and related results

G. Farid, Atiq Ur Rehman, J. Pecaric


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.

Palabras clave

Convex functions; K-divergence; J-divergence; log-convexity; Cauchy means; exponentially convex functions; funciones convexas; K-divergencia; J-divergencia; convexidad logarítmica; valor medio de Cauchy; funciones exponencialmente convexas.

Texto completo:



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DOI: http://dx.doi.org/10.4067/S0716-09172016000400002

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