Pregled bibliografske jedinice broj: 980323
Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
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 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalizations of Steffensen’s inequality by
Lidstone’s polynomial and related results
Autori
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Vukelić, Ana
Izvornik
Quaestiones Mathematicae (1607-3606) 43
(2020), 3;
293-307
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen’s inequality, generalizations, n-convex functions, Lidstone polynomial, Ostrowski-type inequality, Grüss-type inequality
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
