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Derivatives and Integrals with Respect to a Base Function of Generalized Bounded Variation
Published online by Cambridge University Press: 20 November 2018
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In this paper we consider measures determined by arbitrary functions G(x) for which finite right and left limits exist everywhere and indicate how some of these measures permit the definition of generalized integrals of constructive or Denjoy type. These definitions are related to corresponding descriptive definitions based on the Perron approach as given by Ward (6) and Henstock (2). An exposition of the introductory theory is given in (1).
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- Copyright © Canadian Mathematical Society 1967
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