Generalizations of Steffensen's inequality via Taylor's formula (CROSBI ID 219411)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
engleski
Generalizations of Steffensen's inequality via Taylor's formula
We generalize Steffensen's inequality to the class of n-convex functions using Taylor's formula. Further, we use inequalities for the Čebyšev functional to obtain bounds for identities related to generalizations of Steffensen's inequality and we give Ostrowski-type inequalities related to obtained generalizations. Finally, we apply our results to obtain new Stolarsky-type means.
Steffensen's inequality; Taylor's formula; Čebyšev functional; Ostrowski-type inequality; Stolarsky-type mean
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Podaci o izdanju
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2015.
207-1-207-25
objavljeno
1029-242X
10.1186/s13660-015-0702-8