Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound for Sherman’s inequality, as well as for generalized Sherman’s inequality, is given with some applications. As easy consequences, some new bounds for Jensen’s inequality can be derived.
CITATION STYLE
Ivelić Bradanović, S., Latif, N., & Pečarić, J. (2016). On an upper bound for Sherman’s inequality. Journal of Inequalities and Applications, 2016(1). https://doi.org/10.1186/s13660-016-1091-3
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