Electronic Issue "Scientific Research"

This paper is devoted to deriving some inequalities, among them the inequality

of the arithmetic and geometric means, triangle inequality, Minkowski's inequal-

ity, etc., from Jensen's inequality applied for some convex functions. Additional

properties of convex functions are also considered.

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Stefan M. Stefanov

Department of Informatics, Neofit Rilski South-Western University

Blagoevgrad, BULGARIA; e-mail: stefm@swu.bg