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A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions (CROSBI ID 144775)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Abramovich, Shoshana ; Barić, Josipa ; Pečarić, Josip A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions // Journal of inequalities in pure and applied mathematics, 9 (2008), 3; 62-1-62-13

Podaci o odgovornosti

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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Podaci o izdanju

9 (3)

2008.

62-1-62-13

objavljeno

1443-5756

Povezanost rada

Matematika

Indeksiranost