Difference between revisions of "Inequality for Hilger real part"
From timescalewiki
| Line 2: | Line 2: | ||
The following inequality holds for $z \in \mathbb{C}_h$: | The following inequality holds for $z \in \mathbb{C}_h$: | ||
$$-\dfrac{1}{h} < \mathrm{Re}_h(z) < \infty,$$ | $$-\dfrac{1}{h} < \mathrm{Re}_h(z) < \infty,$$ | ||
| − | where $\mathrm{Re}_h$ denotes the [[Hilger real part]]. | + | where $\mathbb{C}_h$ denotes the [[Hilger complex plane]] and $\mathrm{Re}_h$ denotes the [[Hilger real part]]. |
==Proof== | ==Proof== | ||
Latest revision as of 12:59, 19 August 2017
Theorem
The following inequality holds for $z \in \mathbb{C}_h$: $$-\dfrac{1}{h} < \mathrm{Re}_h(z) < \infty,$$ where $\mathbb{C}_h$ denotes the Hilger complex plane and $\mathrm{Re}_h$ denotes the Hilger real part.
