engleski

Uniform treatment of Jensen type inequalities II

The main purpose of this paper is to give the uniform treatment of the Jensen type inequalities using some new Green functions. Using the same method, we also give adequate results for the converses of the Jensen inequality. As a consequence, the results concerning the Hermite-Hadamard inequalities are also presented.

Green function ; Jensen’s inequality ; converse Jensen’s inequality ; Hermite-Hadamard’s inequality

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