Improvement of Jensen--Steffensen's inequality for superquadratic functions
Shoshana Abramovich, Slavica Ivelic, and Josip E. Pecaric
Source: Banach J. Math. Anal. Volume 4, Number 1
(2010), 159-169.
Abstract
In this paper, improvements for superquadratic functions of Jensen--Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen--Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements and extensions of Jensen--Steffensen's inequality and related inequalities.
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2012 © Tusi Mathematical Research Group
Banach Journal of Mathematical Analysis
