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Extensions and improvements of Sherman’s and related inequalities for n-convex functions (CROSBI ID 241426)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Ivelić Bradanović, Slavica ; Pečarić, Josip Extensions and improvements of Sherman’s and related inequalities for n-convex functions // Open Mathematics, 15 (2017), 1; 936-947. doi: 10.1515/math-2017-0077

Podaci o odgovornosti

Ivelić Bradanović, Slavica ; Pečarić, Josip

engleski

Extensions and improvements of Sherman’s and related inequalities for n-convex functions

This paper gives extensions and improvements of Sherman's inequality for n-convex functions obtained by using new identities which involve Green's functions and Fink's identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen's inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.

Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, Čebyčev functional, Means

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Podaci o izdanju

15 (1)

2017.

936-947

objavljeno

2391-5455

10.1515/math-2017-0077

Povezanost rada

Matematika

Poveznice
Indeksiranost