engleski

Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications

We give a proof of Giaccardi's inequality for convex-concave antisymmetric function.Also we give the exponential convexity of improvement of Giaccardi's inequality by using positive semidefinite matrix and related mean value theorems of Cauchy type.

Convex-concave; Giaccardi's inequality; Antisymmetric function; Exponentially convex function; Log-convex functions; Positive semidefinite matrix; Mean value theorems

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