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On Differentiability with Respect to Parameters of the Lebesgue Integral  
 
  Authors: Vasile Lupulescu,  
  Keywords: Lebesgue integral, Contingent cones, Contingent derivatives.  
  Date Received: 07/12/01  
  Date Accepted: 20/07/02  
  Subject Codes:

49J52,26A27,46G05,26A42.

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

The aim of this paper is to extend the results of  [7] and [8] to a Lebesgue integral whose integrand and limits of integration depend on parameters.

[7] E.J. McSHANE, Integration, Princeton Univ.Press, 1947.
[8] I. MIRICA, Generalization Derivatives with the Applications in Optimal Control and Optimization, PhD Thesis, Univ. Iasi, 1997.

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