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Turkish Journal of Mathematics

DOI

10.3906/mat-1610-26

Abstract

In this paper we derive several improved forms of the Jensen inequality, giving the necessary and sufficient conditions for them to hold in the case of the real Stieltjes measure not necessarily positive.The obtained relations are characterized via the Green function. As an application, our main results are employed for constructing some classes of exponentially convex functions and some Cauchy-type means.

First Page

1482

Last Page

1496

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