Open Access
2004-2005 Approximation of Carathéodory functions and multifunctions
E. Kubrińska
Real Anal. Exchange 30(1): 351-360 (2004-2005).


In this paper we present four results of approximation of Carathéodory functions by the sequence of continuous functions. We obtain almost everywhere pointwise convergence with respect to the first variable, and discrete or uniform convergence on compact sets with respect to the second variable


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E. Kubrińska. "Approximation of Carathéodory functions and multifunctions." Real Anal. Exchange 30 (1) 351 - 360, 2004-2005.


Published: 2004-2005
First available in Project Euclid: 27 July 2005

MathSciNet: MR2127541

Primary: 26E25
Secondary: 28A20

Keywords: Caratheodory functions and multifunctions , Frechet theorem , Scorza Dragoni theorem

Rights: Copyright © 2004 Michigan State University Press

Vol.30 • No. 1 • 2004-2005
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