# 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.