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Scientific paper - Original scientific paper
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. & 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, no. 3, 2019, pp. 293-307. https://doi.org/10.2989/16073606.2018.1539048

Pečarić, Josip, Anamarija Perušić Pribanić and Ana Vukelić. "Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results." Quaestiones Mathematicae 43, no. 3 (2019): 293-307. https://doi.org/10.2989/16073606.2018.1539048

Pečarić, J., Perušić Pribanić, A. and Vukelić, A. (2019) 'Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results', Quaestiones Mathematicae, 43(3), pp. 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]. 2019 January 15 [cited 2025 April 05];43(3):293-307. doi: 10.2989/16073606.2018.1539048

J. Pečarić, A. Perušić Pribanić and A. Vukelić, "Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results", Quaestiones Mathematicae, vol. 43, no. 3, pp. 293-307, January 2019. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:157:971269. [Accessed: 05 April 2025]

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Metadata
Title (english)Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
AuthorJosip Pečarić
AuthorAnamarija Perušić Pribanić
AuthorAna Vukelić
Author's institutionUniversity of Rijeka
Faculty of Civil Engineering
Author's institutionUniversity of Zagreb
Faculty of Food Technology and Biotechnology
Author's institutionUniversity of Zagreb
Faculty of Textile Technology
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract (english)
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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleQuaestiones Mathematicae
Numberingvol. 43, no. 3, pp. 293-307
p-ISSN1607-3606
e-ISSN1727-933X
DOIhttps://doi.org/10.2989/16073606.2018.1539048
URN:NBNurn:nbn:hr:157:971269
Publication2019-01-15
Document URLhttps://www.tandfonline.com/doi/full/10.2989/16073606.2018.1539048
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) icon
Created on2025-04-03 09:07:15