Abramovich, Shoshana; Baric, J.; Pečarić, Josip E. A variant of Jessen’s inequality of Mercer’s type for superquadratic functions. (English) Zbl 1163.26323 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 3, Paper No. 62, 13 p. (2008). Summary: A variant of Jessen’s inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen’s inequality of Mercer’s type for convex functions. The result is used to refine some comparison inequalities of Mercer’s type between functional power means and between functional quasi-arithmetic means. Cited in 8 Documents MSC: 26D15 Inequalities for sums, series and integrals 39B62 Functional inequalities, including subadditivity, convexity, etc. Keywords:isotonic linear functionals; Jessen’s inequality; superquadratic functions; functional quasi-arithmetic and power means of Mercer’s type PDFBibTeX XMLCite \textit{S. Abramovich} et al., JIPAM, J. Inequal. Pure Appl. Math. 9, No. 3, Paper No. 62, 13 p. (2008; Zbl 1163.26323) Full Text: EuDML EMIS