Abstract
We consider real-valued twice differentiable functions defined on an open interval. Our main result states that if a function $f$ satisfies some inequalities then a map $x\mapsto f(x)\exp(-cx)$ is convex, where $c$ is an arbitrary point of $\mathbf{R}$ or of $\mathbf{R}\setminus (c_1,c_2)$ for some real $c_1, c_2$.
Citation
Włodzimierz FECHNER. "On Some Functional-differential Inequalities Related to the Exponential Mapping." Tokyo J. Math. 34 (2) 345 - 352, December 2011. https://doi.org/10.3836/tjm/1327931390
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