New Refinements of the Jensen Inequalities Based on Samples with Repetitions

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• 作者：Pecaric ; J. ; Svrtan ; D.
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：1998
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：June 15, 1998
• 卷：222
• 期：2
• 页码：365-373
• 文件大小：117 K

摘要

In this paper we give a refinement of the Jensen inequality for any mid-convex functionfby arithmetic means offevaluated at arithmetic means of samples with repetitions. The case of samples without repetitions was treated by J. E. Pecaric and V. Volenec (Österreich. Akad. Wiss. Math.-Natur. Kl. Sonderdruck Sitzungsber.197, 1988, 463–467).