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On inequalities complementary to Jensen's inequality (CROSBI ID 167384)
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Klaričić Bakula, Milica ; Matić, Marko ; Pečarić, Josip
On inequalities complementary to Jensen's inequality // Matematički bilten, 32 (2008), 17-27
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Klaričić Bakula, Milica ; Matić, Marko ; Pečarić, Josip
engleski
On inequalities complementary to Jensen's inequality
In this paper we give generalizations of two complementary inequalities proved by Pečarić and Mesihović. We also show that a generalization of Niculescu's inequality obtained by M. Dincă, S. Rădulescu and M. Bencze is a simple consequence of an older theorem proved by Pečarić and Mesihović. We give an example which shows that a conjecture stated by M. Dincă, S. Rădulescu and M. Bencze is incorrect.
convex functions; Jensen's inequality; complementary inequalities
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