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Integral Form of Popoviciu Inequality for Convex Function
Author(s):
1. Khuram Ali Khan: Department of Mathematics, University of Sargodha,Sargodha,Pakistan
2. Tasadduq Niaz: Department of Mathematics, University of Sargodha,Sargodha,Pakistan
3. Josip Pečarić: Faculty of Textile Technology, University of Zagreb,Zagreb,Croatia
Abstract:
In this paper, the new integral form of Popoviciu inequality for convex functions is constructed and also the new refinement of integral form of Jensen's inequality is given. For the purpose of application some new quasi arithmetic means are defined along with their monotonicity property. 
Page(s): 339-348
DOI: DOI not available
Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 53, Issue: 3, Year: 2016
Keywords:
Convex function , Popoviciu inequality , quasi arithmetic means , Jensens inequality
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