Author:
Khan M. Adil,Khan Asif R.,Pečarić J.
Abstract
In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.
Publisher
Academia Romana Filiala Cluj
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)
Reference11 articles.
1. M. Anwar and J. Pečarić, Cauchy means of Mercer's type, Utilitas Mathematica, 84, pp. 201-208, 2011.
2. P.S. Bullen, D.S. Mitrinović and P.M. Vasić, Means and Their Inequalities, Reidel, Dordrecht, 1988. https://doi.org/10.1007/978-94-017-2226-1
3. W.S. Cheung, A. Matković and J. Pečarić, A variant of Jessen's inequality and generalized means, JIPAM, 7(1), Article 10, 2006.
4. S.S. Dragomir, A new refinement of Jensen's inequality in linear spaces with applications, Mathematical and Computer Modelling, 52, pp. 1497-1505, 2010. https://doi.org/10.1016/j.mcm.2010.05.035
5. J. Jakšetić and J. Pečarić, Exponential Convexity Method, J. Convex Anal., to appear.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献