Refeniments of the majorization-type inequalities via Green and Fink identities and related results

Authors :: Khalid, Sadia
Pečarić, Josip
Vukelić, Ana
Aglić Aljinović, Andrea
Elezović, Neven
Rodić, Mirna
Publication Year :: 2018
Abstract: In this work, the Green's function of order two is used together with Fink's approach in Ostrowski's inequality to represent the difference between the sides of the Sherman's inequality. Čebyšev, Grüss and Ostrowski-type inequalities are used to obtain several bounds of the presented Sherman-type inequality.

Subjects :: Divided difference, $n$-convex function, majorization, Sherman's inequality, Green's function, Fink's identity, Čebyšev functional, Grüss-type inequality, Ostrowski-type inequality

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