
The paper provides the characteristic properties of half convex functions. The analytic and geometric image of half convex functions is presented using convex combinations and support lines. The results relating to convex combinations are applied to quasi-arithmetic means.
half convex function, Applied Mathematics, Discrete Mathematics and Combinatorics, Jensen's inequality, convex combination center, quasi-arithmetic mean, Analysis, convex combination center; half convex function; Jensen's inequality; quasi-arithmetic mean
half convex function, Applied Mathematics, Discrete Mathematics and Combinatorics, Jensen's inequality, convex combination center, quasi-arithmetic mean, Analysis, convex combination center; half convex function; Jensen's inequality; quasi-arithmetic mean
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