Generalizations of Steffensen's inequality via some Euler-type identities (CROSBI ID 232553)
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Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
engleski
Generalizations of Steffensen's inequality via some Euler-type identities
Using Euler-type identities some new generalizations of Steffensen's inequality for n−convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given.ˇ Furthermore, using inequalities for the Čebyšev functional in terms of the first derivative some new bounds for the remainder in identities related to generalizations of Steffensen's inequality are proven.
Steffensen’s inequality; Euler-type identities; Bernoulli polynomials; Ostrowski-type inequalities; Čebyšev functional
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Matematika