Difference between revisions of "Forward box minus"

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Let $\mathbb{T}$ be a [[time scale]]. We define the (forward) box minus operation $\boxminus_{\mu}$ by  
 
Let $\mathbb{T}$ be a [[time scale]]. We define the (forward) box minus operation $\boxminus_{\mu}$ by  
$$\left( p \boxplus_{\mu} q \right)(t) := \dfrac{t\Big(p(t)-q(t)\Big)}{t+g(t)\mu(t)},$$
+
$$\left( p \boxminus_{\mu} q \right)(t) := \dfrac{t\Big(p(t)-q(t)\Big)}{t+g(t)\mu(t)},$$
 
where $\mu$ denotes the [[forward graininess]].
 
where $\mu$ denotes the [[forward graininess]].
  

Revision as of 17:42, 15 January 2023

Let $\mathbb{T}$ be a time scale. We define the (forward) box minus operation $\boxminus_{\mu}$ by $$\left( p \boxminus_{\mu} q \right)(t) := \dfrac{t\Big(p(t)-q(t)\Big)}{t+g(t)\mu(t)},$$ where $\mu$ denotes the forward graininess.

See also

Forward box plus
Gamma function

References