Popoviciu type inequalities for n−convex functions via extension of weighted Montgomery identity
DOI:
https://doi.org/10.24193/subbmath.2024.1.02Keywords:
n-convex functions, n-convex functions at a point, Weighted Montgomery identity, Green’s function, Ostrowski type inequalitiesAbstract
In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained. Besides that, some Ostrowski-type inequalities are also presented, which are interrelated with the obtained inequalities.
Mathematics Subject Classification (2010): 26A51, 26D15, 26D20.
Received 26 September 2021; Accepted 13 May 2022
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