Generalizations of the Jensen–Mercer Inequality via Fink’s Identity
Keyword(s):
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.
2012 ◽
Vol 27
(13)
◽
pp. 1250067
◽
Keyword(s):
2002 ◽
Vol 149
(1)
◽
pp. 57-63
◽
2014 ◽
Vol 19
(3)
◽
pp. 301-334
◽