On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function

Abstract In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize the refinement of Jensen’s inequality...

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Bibliographic Details
Main Authors: Tasadduq Niaz, Khuram Ali Khan, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1521-x