Difference between revisions of "Inequality for Hilger real part"

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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.

Proof

References