New generalizations of Popoviciu type inequalities via new green functions and Fink’s identity

We formulate new identities involving new Green functions. Inequality of Popoviciu, which was improved by Vasić and Stanković (1976), is generalized by using newly introduced Green functions. We utilize Fink’s identity along with new Green’s function to generalize the known Popoviciu’s inequality fr...

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Bibliographic Details
Main Authors: Saad Ihsan Butt, Nasir Mehmood, Josip Pečarić
Format: Article
Language:English
Published: Elsevier 2017-12-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S234680921730003X