An integral of the Perron type

In the definition of the Perron integral of a function f (x) over a closed interval [a, b] a major function M(x) and a minor function m(x) are required to satisfy the conditions (i) M(x) and m(x) are continuous on [a, b] and M(a) = m(a) = 0 ; (ii) - ∞ ≠ Ḏ M(x) ≥ f (x) ≥ D [overscored] m(x) ≠ + ∞....

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Bibliographic Details
Main Author: McGregor, James Lewin
Language:English
Published: University of British Columbia 2012
Subjects:
Online Access:http://hdl.handle.net/2429/41334