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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Measure on Time Scales with Mathematica
verfasst von : Ünal Ufuktepe, Ahmet Yantır
Erschienen in: Computational Science – ICCS 2006
Verlag: Springer Berlin Heidelberg
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In this paper we study the Lebesgue Δ-measure on time scales. We refer to [3, 4] for the main notions and facts from the general measure and Lebesgue Δ integral theory. The objective of this paper is to show how the main concepts of
Mathematica
can be applied to fundamentals of Lebesgue Δ- and Lebesgue
$\nabla$
- measure on an arbitrary time scale and also on a discrete time scale whose rule is given by the reader. As the time scale theory is investigated in two parts, by means of
σ
and
ρ
operators, we named the measures on time scales by the set function
DMeasure
and
NMeasure
respectively for arbitrary time scales.