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
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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