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