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1992/1993 PRODUCTS OF DERIVATIVES OF INTERVAL FUNCTIONS WITH CONTINUOUS FUNCTIONS
Aleksander Maliszewski
Real Anal. Exchange 18(2): 590-598 (1992/1993). DOI: 10.2307/44152309

Abstract

It is known that the family of all derivatives (from into ) whose product with every continuous function is a derivative is the same as the family of all locally summable derivatives such that

limsuph0+xhx+hf2h<

for each x. In this paper we prove an analogous theorem in multidimensional case.

Citation

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Aleksander Maliszewski. "PRODUCTS OF DERIVATIVES OF INTERVAL FUNCTIONS WITH CONTINUOUS FUNCTIONS." Real Anal. Exchange 18 (2) 590 - 598, 1992/1993. https://doi.org/10.2307/44152309

Information

Published: 1992/1993
First available in Project Euclid: 30 March 2022

Digital Object Identifier: 10.2307/44152309

Subjects:
Primary: ‎28A15

Keywords: derivative of interval function , locally summable function

Rights: Copyright © 1992 Michigan State University Press

Vol.18 • No. 2 • 1992/1993
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