New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity

Abstract The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green’s functions. New generalizations of an improved Popoviciu inequality are obtained by using generalized Montgomery identity along w...

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Bibliographic Details
Main Authors: Nasir Mehmood, Ravi P Agarwal, Saad Ihsan Butt, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1379-y