<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0053_001.jpg"></inline-graphic>, 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. </p></abstract>

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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues...

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

Published Online: Sep 21, 2017

Page range: 161 - 188

Received: Sep 09, 2015

Accepted: Feb 12, 2016

DOI: https://doi.org/10.1515/auom-2016-0053

Keywords
n-convex functions, n-convex functions at a point, Montgomery identity, Čebyšev functional, exponential convexity.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 161 - 188

Received: Sep 09, 2015

Accepted: Feb 12, 2016

DOI: https://doi.org/10.1515/auom-2016-0053

Keywordsn-convex functions, n-convex functions at a point, Montgomery identity, Čebyšev functional, exponential convexity.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
n-convex functions, n-convex functions at a point, Montgomery identity, Čebyšev functional, exponential convexity.