A NEW CHARACTERIZATION OF BUCZOLICH'S UPPER SEMICONTINUOUSLY INTEGRABLE FUNCTIONS.

Authors :: Lee Tuo-Yeong
Source :: Real Analysis Exchange. 2004/2005, Vol. 30 Issue 2, p779-782. 4p.
Publication Year :: 2004
Abstract: It is shown that if f is Henstock-Kurzweil integrable on a compact interval E in ℝm, then f is upper semicontinuously integrable on E if and only if there exists an increasing sequence {Xn} of closed sets whose union is E, and f¦xn is bounded for each positive integer n. [ABSTRACT FROM AUTHOR]

Subjects :: *INTEGRALS
*MATHEMATICAL functions
*HENSTOCK-Kurzweil integral
*REAL variables
*DIFFERENTIAL equations

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