A new refinement of Jensen's inequality in linear spaces with applications
نویسنده
چکیده
A new refinement of Jensen’s celebrated inequality for functions defined on convex sets in linear spaces is given. Applications for norms, mean f -deviation and f -divergences are provided as well.
منابع مشابه
A REFINEMENT OF JENSEN’S INEQUALITY WITH APPLICATIONS FOR f-DIVERGENCE MEASURES
A refinement of the discrete Jensen’s inequality for convex functions defined on a convex subset in linear spaces is given. Application for f -divergence measures including the Kullback-Leibler and Jeffreys divergences are provided as well.
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متن کاملOn generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function
In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the 'two-point right focal' problem. We use Fink's identity and a new Abel-Gontscharoff-type Green's function for a 'two-point right focal' to generalize the refinement of Jensen's inequality given in (Horváth and Pečarić in Math. Inequal. Appl. 14: 777-791, 2011) from convex function to higher o...
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عنوان ژورنال:
- Mathematical and Computer Modelling
دوره 52 شماره
صفحات -
تاریخ انتشار 2010