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On the Cesàro-Perron integral

Published online by Cambridge University Press:  17 April 2009

M.K. Bose  and
B. Ghosh
M.K. Bose
Affiliation:
Department of Mathematics, University of North Bengal, Darjeeling - 734430 West Bengal, India
B. Ghosh
Affiliation:
Department of Mathematics, University of North Bengal, Darjeeling - 734430 West Bengal, India
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Abstract

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In the present paper a simple proof of a theorem of Sargent on CλP-integral of Burkill is given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 3 , June 1991 , pp. 483 - 489
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Burkill, J.C., ‘The Cesàro-Perron scale of integration’, Proc. London Math. Soc. 39 (1935), 541–552.CrossRefGoogle Scholar
[2]Saks, S., Theory of integral(Warsaw, 1937).Google Scholar
[3]Sargent, W.L.C., ‘A descriptive definition of Cesàro-Perron integrals’, Proc. London Math. Soc. (2) 47 (1941), 212–247.Google Scholar
[4]Sargent, W.L.C., ‘Some properties of C λ-continuous functions’, J. London Math. Soc. 26 (1951), 116–121.CrossRefGoogle Scholar
[5]Verblunsky, S., ‘On a descriptive definition of Cesàro-Perron integrals’, J. London Math. Soc. 3 (1971), 326–333.CrossRefGoogle Scholar