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Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results (CROSBI ID 259481)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pečarić, Josip ; Perušić Pribanić, Anamarija ; Vukelić, Ana Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results // Quaestiones Mathematicae, 43 (2020), 3; 293-307. doi: 10.2989/16073606.2018.1539048

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

Povezanost rada

Matematika

Poveznice
Indeksiranost