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A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k (CROSBI ID 222598)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Matković, Anita ; Pečarić, Josip ; Perić, Jurica A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k // Journal of mathematical inequalities, 9 (2015), 4; 1093-1114. doi: 10.7153/jmi-09-84

Podaci o odgovornosti

Matković, Anita ; Pečarić, Josip ; Perić, Jurica

engleski

A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k

A refinement of the Jessen-Mercer inequality is obtained and shown to be an improvement of the upper bound for the Jessen’s difference. Also a generalization of the Jessen-Mercer inequality for convex functions on convex hulls in R^k is given. An elegant method of producing n- exponentially convex and exponentially convex functions is applied using the Jessen-Mercer differences. Lagrange and Cauchy mean value type theorems are proved and shown to be useful in studying Stolarsky type means defined by using the Jessen-Mercer differences.

Jessen-Mercer inequality ; convex functions ; convex hulls ; n-exponential convexity ; Stolarsky type means

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Podaci o izdanju

9 (4)

2015.

1093-1114

objavljeno

1846-579X

10.7153/jmi-09-84

Povezanost rada

Matematika

Poveznice
Indeksiranost