Real Analysis Exchange

Approximation of Carathéodory functions and multifunctions

E. Kubrińska

Full-text: Open access


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

Article information

Real Anal. Exchange, Volume 30, Number 1 (2004), 351-360.

First available in Project Euclid: 27 July 2005

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Primary: 26E25: Set-valued functions [See also 28B20, 49J53, 54C60] {For nonsmooth analysis, see 49J52, 58Cxx, 90Cxx}
Secondary: 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence

Caratheodory functions and multifunctions Scorza Dragoni theorem Frechet theorem


Kubrińska, E. Approximation of Carathéodory functions and multifunctions. Real Anal. Exchange 30 (2004), no. 1, 351--360.

Export citation