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Fungrim entry: d8d286

∣sinc⁡(x)∣≤1+∣x∣1+x2\left|\operatorname{sinc}(x)\right| \le \frac{1 + \left|x\right|}{1 + {x}^{2}}
Assumptions:x∈Rx \in \mathbb{R}
TeX:
\left|\operatorname{sinc}(x)\right| \le \frac{1 + \left|x\right|}{1 + {x}^{2}}

x \in \mathbb{R}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Powab{a}^{b} Power
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("d8d286"),
    Formula(LessEqual(Abs(Sinc(x)), Div(Add(1, Abs(x)), Add(1, Pow(x, 2))))),
    Variables(x),
    Assumptions(And(Element(x, RR))))

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2021-03-15 19:12:00.328586 UTC