Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results (CROSBI ID 259481)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Vukelić, Ana
engleski
Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
In this paper we obtain few valuable identities by using Lidstone’s polynomial. Further, the identities were applied for constructing new generalizations of Steffensen’s inequality, namely for (2n)−convex and (2n+1)−convex functions. In addition, using Čebyšev and Grüss type inequalities we consider the bounds for the integrals in the perturben versions of the previously described identities. Moreover, related Ostrowski type inequalities are given.
Steffensen’s inequality, generalizations, n-convex functions, Lidstone polynomial, Ostrowski-type inequality, Grüss-type inequality
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Podaci o izdanju
43 (3)
2020.
293-307
objavljeno
1607-3606
1727-933X
10.2989/16073606.2018.1539048