Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić
Open Mathematics · 2018
doi:10.1515/math-2018-0039 (opens in a new tab)
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Abstract
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s inequality. Related Ostrowski type inequalities are also provided. Bounds for the reminders in new identities are given by using the Chebyshev and Grüss type inequalities.
Abstract licence: CC BY
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