Mathematics
(May 2022)
Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality
Josip Pečarić,
Anamarija Perušić Pribanić,
Ksenija Smoljak Kalamir
Affiliations
Josip Pečarić
Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog 11, 10000 Zagreb, Croatia
Anamarija Perušić Pribanić
Faculty of Civil Engineering, University of Rijeka, Radmile Matejčić 3, 51000 Rijeka, Croatia
Ksenija Smoljak Kalamir
Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 28a, 10000 Zagreb, Croatia
DOI
https://doi.org/10.3390/math10091505
Journal volume & issue
Vol. 10,
no. 9
Abstract
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In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for (n+2)−convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.
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