Open AccessON THE DENJOY-PERRON-BOCHNER INTEGRAL
Author(s) -
S. Siudut
Publication year - 1994
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.25.1994.4457
Subject(s) - mathematics , pure mathematics
The notion of Denjoy integrals of abstract functions was first intro- duced by A. Alexiewicz [1]. His descriptive definitions are based upon a concept of the approximate derivative. In this paper we present another descriptive definition for the Denjoy-Perron integral of abstract functions - via the parametric derivative of Tolstov [8]. Some properties of this integral are examined.