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

• Farid, G. ^[1] ; Rehman, Atiq Ur ^[1] ; Pecaric, J. ^[2]
  1. [1] COMSATS Institute of Information Technology

     COMSATS Institute of Information Technology

     Pakistán

     
  2. [2] University of Zagreb

     University of Zagreb

     Croacia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 4, 2016, págs. 381-393
• Idioma: inglés
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• Resumen

  • 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.