Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality

Josip Pečarić, Anamarija Perušić Pribanić and Ksenija Smoljak Kalamir
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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

Mathematics, 2022, vol. 10, issue 9, 1-10

Abstract: 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.

Keywords: weighted Hermite–Hadamard inequality; Steffensen’s inequality; Taylor’s formula; n -convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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