Some Discrete Inequalities for Convex Functions Defined on Linear Spaces
DOI:
https://doi.org/10.62298/advmath.28Keywords:
Convex functions, Linear spaces, Jensen's inequality, Hermite-Hadamard inequality, Norm inequalitiesAbstract
The following inequality is the well-known Hermite-Hadamard integral inequality for convex functions defined on a segment
[a,b]:={(1-t)a+tb,t
with a; b vectors in a linear space X;
In this paper we provide some discrete inequalities related to the Hermite-Hadamard result for convex functions defined on convex subsets in a linear space. Applications for norms and univariate real functions with an example for the logarithm, are also given.References
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