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