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Carlson type inequalities.

Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)

Journal of Inequalities and Applications [electronic only]

Characterization of convex functions

Jacek Tabor, Józef Tabor (2009)

Studia Mathematica

There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.

Convex sets and inequalities.

Takahasi, Sin-Ei, Takahashi, Yasuji, Miyajima, Shizuo, Takagi, Hiroyuki (2005)

Journal of Inequalities and Applications [electronic only]

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