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Mixed Symmetric Means Related to The Classical Jensen's Inequality (CROSBI ID 196920)
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Khan, Khuram Ali ; Pečarić, Josip
Mixed Symmetric Means Related to The Classical Jensen's Inequality // Journal of mathematical inequalities, 7 (2013), 1; 43-62. doi: 10.7153/jmi-07-05
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Khan, Khuram Ali ; Pečarić, Josip
engleski
Mixed Symmetric Means Related to The Classical Jensen's Inequality
In this paper, we define some new mixed symmetric means corresponding to various refinements of classical Jensen’s inequality. A new refinement of classical Jensen’s inequality is given. We also prove the n-exponential convexity for the functionals constructed from the refinement results. In the end some applications are discussed.
convex function; Jensen’s inequality; mixed symmetric means; exponentially convex function
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