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Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
Quaestiones Mathematicae, 43 (2019), 3; 293-307. https://doi.org/10.2989/16073606.2018.1539048
Pečarić, Josip; Perušić Pribanić, Anamarija; Vukelić, Ana

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Pečarić, J., Perušić Pribanić, A. i Vukelić, A. (2019). Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results. Quaestiones Mathematicae, 43. (3), 293-307. doi: 10.2989/16073606.2018.1539048

Pečarić, Josip, et al. "Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results." Quaestiones Mathematicae, vol. 43, br. 3, 2019, str. 293-307. https://doi.org/10.2989/16073606.2018.1539048

Pečarić, Josip, Anamarija Perušić Pribanić i Ana Vukelić. "Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results." Quaestiones Mathematicae 43, br. 3 (2019): 293-307. https://doi.org/10.2989/16073606.2018.1539048

Pečarić, J., Perušić Pribanić, A. i Vukelić, A. (2019) 'Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results', Quaestiones Mathematicae, 43(3), str. 293-307. doi: 10.2989/16073606.2018.1539048

Pečarić J, Perušić Pribanić A, Vukelić A. Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results. Quaestiones Mathematicae [Internet]. 15.01.2019. [pristupljeno 06.04.2025.];43(3):293-307. doi: 10.2989/16073606.2018.1539048

J. Pečarić, A. Perušić Pribanić i A. Vukelić, "Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results", Quaestiones Mathematicae, vol. 43, br. 3, str. 293-307, Siječanj 2019. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:157:971269. [Citirano: 06.04.2025.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:157:971269
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Naslov (engleski)Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
AutorJosip Pečarić
AutorAnamarija Perušić Pribanić
AutorAna Vukelić
Autorova ustanovaSveučilište u Rijeci
Građevinski fakultet
Autorova ustanovaSveučilište u Zagrebu
Prehrambeno-biotehnološki fakultet
Autorova ustanovaSveučilište u Zagrebu
Tekstilno-tehnološki fakultet
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Matematika
Sažetak (engleski)
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.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaQuaestiones Mathematicae
Brojčani podacivol. 43, br. 3, str. 293-307
p-ISSN1607-3606
e-ISSN1727-933X
DOIhttps://doi.org/10.2989/16073606.2018.1539048
URN:NBNurn:nbn:hr:157:971269
Datum objave publikacije2019-01-15
URL dokumentahttps://www.tandfonline.com/doi/full/10.2989/16073606.2018.1539048
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Imenovanje-Nekomercijalno-Bez prerada 4.0 međunarodna (CC BY-NC-ND 4.0)
Datum i vrijeme pohrane2025-04-03 09:07:15