engleski

Improvement of Jensen's inequality in term of Gateaux derivatives for convex functions in linear spaces with applications

ABSTRACT In this paper, we prove some inequalities in terms of Gateaux derivatives for convex functions defined on linear spaces and also give improvement of Jensen's inequality. Furthermore, we give applications for norms, mean f-deviations and f-divergence measures.

Jensen's inequality; Gateaux derivatives; convex functions; linear spaces

nije evidentirano