Authors:
S. Mukhopadhyay University of Burdwan Burdwan Department of Mathematics 713104 West Bengal India

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С. Махопалхаи University of Burdwan Burdwan Department of Mathematics 713104 West Bengal India

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Abstract  

An integral more general than the SCP-integral is introduced, and among other properties, it is proved that iff is integrable in this sense with its second primitive ACG* and ifG is the indefinite integral of a functiong of bounded variation, thenfG is also integrable in this sense and the integration by parts formula holds. The integration by parts formula for the SCP-integral is also proved wheng is of bounded variation. This advances the existing result when, in addition,g is also continuous.

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Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)