Fungrim entry: 94a81f

\psi\!\left(x\right) < \log(x) - \frac{1}{2 x}

Assumptions:

x \in \left(0, \infty\right)

TeX:

\psi\!\left(x\right) < \log(x) - \frac{1}{2 x}

x \in \left(0, \infty\right)

Definitions:

Fungrim symbol	Notation	Short description
`DigammaFunction`	$\psi\!\left(z\right)$	Digamma function
`Log`	$\log(z)$	Natural logarithm
`OpenInterval`	$\left(a, b\right)$	Open interval
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("94a81f"),
    Formula(Less(DigammaFunction(x), Sub(Log(x), Div(1, Mul(2, x))))),
    Variables(x),
    Assumptions(Element(x, OpenInterval(0, Infinity))))

Topics using this entry

Digamma function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC