Real Analysis Exchange

Approximation of Carathéodory functions and multifunctions

E. Kubrińska

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Abstract

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

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

Dates
First available in Project Euclid: 27 July 2005

Permanent link to this document
https://projecteuclid.org/euclid.rae/1122482142

Mathematical Reviews number (MathSciNet)
MR2127541

Subjects
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

Keywords
Caratheodory functions and multifunctions Scorza Dragoni theorem Frechet theorem

Citation

Kubrińska, E. Approximation of Carathéodory functions and multifunctions. Real Anal. Exchange 30 (2004), no. 1, 351--360. https://projecteuclid.org/euclid.rae/1122482142


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