Popoviciu type inequalities for n-convex functions via extension of weighted Montgomery identity
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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
Other analytical inequalities, weighted Montgomery identity, Ostrowski type inequalities, \(n\)-convex functions, Inequalities for sums, series and integrals, Green's function, Convexity of real functions in one variable, generalizations, \(n\)-convex functions at a point
Other analytical inequalities, weighted Montgomery identity, Ostrowski type inequalities, \(n\)-convex functions, Inequalities for sums, series and integrals, Green's function, Convexity of real functions in one variable, generalizations, \(n\)-convex functions at a point
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