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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The symmetric derivative


Author: Lee Larson
Journal: Trans. Amer. Math. Soc. 277 (1983), 589-599
MSC: Primary 26A24
MathSciNet review: 694378
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Abstract: It is shown that all symmetric derivatives belong to Baire class one, and a condition characterizing all measurable symmetrically differentiable functions is presented. A method to find a well-behaved primitive for any finite symmetric derivative is introduced, and several of the standard theorems of differential calculus are extended to include the symmetric derivative.


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DOI: https://doi.org/10.1090/S0002-9947-1983-0694378-6
Keywords: Symmetric derivative, Baire class one, Darboux property
Article copyright: © Copyright 1983 American Mathematical Society