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Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity

Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl. 14:777–791, 2011) and introducing a new functional based on an f-divergence functional, we obtain some...

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Detalles Bibliográficos
Autores principales: Khan, Khuram Ali, Niaz, Tasadduq, Pec̆arić, Ðilda, Pec̆arić, Josip
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244721/
https://www.ncbi.nlm.nih.gov/pubmed/30839843
http://dx.doi.org/10.1186/s13660-018-1902-9