Some New Results Related to Favard’s Inequality
نویسندگان
چکیده
Naveed Latif,1 J. Pečarić,1, 2 and I. Perić3 1 Abdus Salam School of Mathematical Sciences, GC University, Lahore 54000, Pakistan 2 Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia 3 Faculty of Food Technology and Biotechnology, University of Zagreb, 10000 Zagreb, Croatia Correspondence should be addressed to Naveed Latif, [email protected] Received 31 July 2008; Revised 17 January 2009; Accepted 5 February 2009 Recommended by A. Laforgia Log-convexity of Favard’s difference is proved, and Drescher’s and Lyapunov’s type inequalities for this difference are deduced. The weighted case is also considered. Related Cauchy type means are defined, and some basic properties are given. Copyright q 2009 Naveed Latif et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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