A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions (CROSBI ID 144775)
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Abramovich, Shoshana ; Barić, Josipa ; Pečarić, Josip
engleski
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions
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.
Isotonic linear functionals; Jessen's inequality; Superquadratic functions; Functional quasi-arithmetic and power means of Mercer's type.
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