On the set where an approximate derivative is a derivative
H. H. Pu, H. W. Pu (1980)
Colloquium Mathematicae
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Displaying similar documents to “On level sets of approximate derivative and approximate symmetric derivative”
On the set where an approximate derivative is a derivative
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On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous
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Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.