Title of article
Further refinements of the Jensen inequalities based upon samples with repetitions
Author/Authors
Xiao، نويسنده , , Zhen-Gang and Srivastava، نويسنده , , H.M and Zhang، نويسنده , , Zhi-Hua، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
592
To page
600
Abstract
In this paper, we give a new refinement and extension of the well-known Jensen inequality for any mid-convex function f by arithmetic means of f evaluated at weighted arithmetic means of samples with repetitions. Our refinement provides the perfected and corrected version of the results given earlier by Pečarić and Svrtan (1998) [5]. As generalizations, we also obtain two other refinements of Jensen’s inequality.
Keywords
Refinements and extensions , Arithmetic means , Mid-convex function , Samples with repetitions , Jensen’s inequality , Weighted arithmetic means
Journal title
Mathematical and Computer Modelling
Serial Year
2010
Journal title
Mathematical and Computer Modelling
Record number
1596835
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