Open Access
2016 Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments
Asif R. Khan, Sumayyah Saadi
Abstr. Appl. Anal. 2016: 1-12 (2016). DOI: 10.1155/2016/5231476


In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al. has stated an integral version of Niezgoda’s result for convex functions. We further generalize Niezgoda’s integral result for functions with nondecreasing increments and give some refinements with applications. In the way, we generalize an important result, Jensen-Boas inequality, using functions with nondecreasing increments. These results would constitute a valuable addition to Jensen-type inequalities in the literature.


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Asif R. Khan. Sumayyah Saadi. "Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments." Abstr. Appl. Anal. 2016 1 - 12, 2016.


Received: 25 February 2016; Accepted: 3 April 2016; Published: 2016
First available in Project Euclid: 17 December 2016

zbMATH: 06929370
MathSciNet: MR3553245
Digital Object Identifier: 10.1155/2016/5231476

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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