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Infinite approximate Peano derivatives |
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| Authors: | Hajrudin Fejzic |
| Institution: | Department of Mathematics, California State University, San Bernardino, California 92407 |
| Abstract: | In this paper we introduce approximate Peano derivatives with infinite values allowed, and we show that these derivatives are Baire one, and possess the Darboux and Denjoy-Clarkson properties. Also we show that if they are bounded from above or below on an interval, then the corresponding ordinary derivatives exist and equal the approximate Peano derivatives. |
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