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

Copyright © 2010 Tusi Mathematical Research Group
Shoshana Abramovich, Slavica Ivelic, and Josip E. Pecaric "Improvement of Jensen--Steffensen's inequality for superquadratic functions," Banach Journal of Mathematical Analysis 4(1), 159-169, (2010). https://doi.org/10.15352/bjma/1272374678
Published: 2010
Vol.4 • No. 1 • 2010
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