Abstract
We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n-convex functions at a point.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference14 articles.
1. Classical and New Inequalities in Analysis;Mitrinović,1993
2. Convex functions, partial orderings, and statistical applications;Pečarić,1992
3. A variant of Jensen’s inequality;Mercer;J. Inequal. Pure Appl. Math.,2003
4. A variant of the Jensen–Mercer operator inequality for superquadratic functions
5. A variant of Jensen’s inequality of Mercer’s type for operators with applications
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