Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders o...

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Published inAnalele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 24; no. 3; pp. 161 - 188
Main Authors Khan, Asif R., Pečarić, Josip, Praljak, Marjan
Format Journal Article
LanguageEnglish
Published De Gruyter Open 01.11.2016
Sciendo
Subjects
26D15
26D20
exponential convexity
Montgomery identity
n-convex functions
n-convex functions at a point
Primary 26A51
Čebyšev functional
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Summary:Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders of identities associated with the obtained inequalities.
ISSN:1844-0835
1844-0835
DOI:10.1515/auom-2016-0053