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Expression of the Lebesgue <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>Δ</mml:mi></mml:mstyle></mml:math>-integral on time scales as a usual Lebesgue integral; application to the calculus of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>Δ</mml:mi></mml:mstyle></mml:math>-antiderivatives

Math XmlnsUsual Lebesgue IntegralTime ScalesDefinite IntegralIntegral Transform