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1996/1997 A unified scale of absolute and non-absolute integrals
D. N. Sarkhel
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Real Anal. Exchange 22(2): 534-573 (1996/1997).


In this paper a Riemann scale of integrals is defined depending on the concept of sifting. Depending on the choice of sifting, the integral defined is equivalent to various classical integrals. The associated concepts of generalized absolute continuity are also defined and used to obtain descriptive definitions of the integrals introduced.


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D. N. Sarkhel. "A unified scale of absolute and non-absolute integrals." Real Anal. Exchange 22 (2) 534 - 573, 1996/1997.


Published: 1996/1997
First available in Project Euclid: 22 May 2012

zbMATH: 0940.26012
MathSciNet: MR1460972

Primary: 26A39
Secondary: 26A42

Keywords: parameter of regularity , Riemann integral , sifting

Rights: Copyright © 1996 Michigan State University Press

Vol.22 • No. 2 • 1996/1997
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