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arxiv: 1502.04201 · v2 · pith:6W4SI6EHnew · submitted 2015-02-14 · 🧮 math.CA

The function (coshsqrt{at²+b}) is exponentially convex

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keywords functionconvexexponentiallysqrtaxiscoshgivennumbers
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Given positive numbers $a$ and $b$, the function $\sqrt{at^2+b}$ is exponentially convex function of $t$ on the whole real axis. Three proofs of this result are presented.

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