Measure on Time Scales with Mathematica

  • Ünal Ufuktepe
  • Ahmet Yantır
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3991)


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.


Main Concept Jump Operator Outer Measure Discrete Analysis Main Notion 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Ünal Ufuktepe
    • 1
  • Ahmet Yantır
    • 1
  1. 1.Izmir Institute of Technology and Yasar UniversityIzmirTurkey

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