On the integrals of Perron type
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- by P. S. Bullen and C. M. Lee PDF
- Trans. Amer. Math. Soc. 182 (1973), 481-501 Request permission
Abstract:
An abstract derivate system is defined axiomatically, and then a naturally corresponding Perron integral theory is developed, unifying all the existing integral theories of Perron type of first order. A new scale of approximately mean-continuous integrals and a new scale of symmetric Cesàro-Perron integrals are obtained as examples of the general theory. Also, the MZ-integral and the SCP-integral are proved to be equivalent.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 182 (1973), 481-501
- MSC: Primary 26A39
- DOI: https://doi.org/10.1090/S0002-9947-1973-0338291-6
- MathSciNet review: 0338291