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arXiv · 2409.02536

Approximations of generalized Bernstein functions

Stamatis Koumandos·Henrik Laurberg Pedersen
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Abstract

We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely $x^{\lambda}\Gamma(x)/\Gamma(x+\lambda)$ are derived.

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Stamatis Koumandos, Henrik Laurberg Pedersen. 2024-09-04. Approximations of generalized Bernstein functions. https://arxiv.org/abs/2409.02536

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