prikaz prve stranice dokumenta Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
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Scientific paper - Original scientific paper
Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 27 (2019), 2; 121-137. https://doi.org/10.2478/auom-2019-0023
Pečarić, Josip; Pribanić, Anamarija Perušić; Kalamir, Ksenija Smoljak

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Pečarić, J., Pribanić, A. P. & Kalamir, K. S. (2019). Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial. Analele Universitatii "Ovidius" Constanta - Seria Matematica, 27. (2), 121-137. doi: 10.2478/auom-2019-0023

Pečarić, Josip, et al. "Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial." Analele Universitatii "Ovidius" Constanta - Seria Matematica, vol. 27, no. 2, 2019, pp. 121-137. https://doi.org/10.2478/auom-2019-0023

Pečarić, Josip, Anamarija Perušić Pribanić and Ksenija Smoljak Kalamir. "Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial." Analele Universitatii "Ovidius" Constanta - Seria Matematica 27, no. 2 (2019): 121-137. https://doi.org/10.2478/auom-2019-0023

Pečarić, J., Pribanić, A. P. and Kalamir, K. S. (2019) 'Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial', Analele Universitatii "Ovidius" Constanta - Seria Matematica, 27(2), pp. 121-137. doi: 10.2478/auom-2019-0023

Pečarić J, Pribanić AP, Kalamir KS. Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial. Analele Universitatii "Ovidius" Constanta - Seria Matematica [Internet]. 2019 June 01 [cited 2025 April 06];27(2):121-137. doi: 10.2478/auom-2019-0023

J. Pečarić, A. P. Pribanić and K. S. Kalamir, "Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial", Analele Universitatii "Ovidius" Constanta - Seria Matematica, vol. 27, no. 2, pp. 121-137, June 2019. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:157:618807. [Accessed: 06 April 2025]

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Metadata
Title (english)Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
AuthorJosip Pečarić
AuthorAnamarija Perušić Pribanić
AuthorKsenija Smoljak Kalamir
Author's institutionUniversity of Rijeka
Faculty of Civil Engineering
Author's institutionUniversity of Zagreb
Faculty of Textile Technology
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract (english)
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Čebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleAnalele Universitatii "Ovidius" Constanta - Seria Matematica
Numberingvol. 27, no. 2, pp. 121-137
e-ISSN1844-0835
DOIhttps://doi.org/10.2478/auom-2019-0023
URN:NBNurn:nbn:hr:157:618807
Publication2019-06-01
Document URLhttps://www.sciendo.com/article/10.2478/auom-2019-0023
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) icon
Created on2025-04-01 06:29:20