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.
Citation
Shoshana Abramovich. Slavica Ivelic. Josip E. Pecaric. "Improvement of Jensen--Steffensen's inequality for superquadratic functions." Banach J. Math. Anal. 4 (1) 159 - 169, 2010. https://doi.org/10.15352/bjma/1272374678
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