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 in | Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 24; no. 3; pp. 161 - 188 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
De Gruyter Open
01.11.2016
Sciendo |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1844-0835 1844-0835 |
DOI: | 10.1515/auom-2016-0053 |