engleski

Exponential convexity for Jensen’s inequality for norms

n this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42, 1988). We also give mean value theorems of Lagrange and Cauchy types. Finally, we construct means with Stolarsky property.

convex function ; exponentially convex function ; mean value theorems ; Stolarsky means

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