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References
J. A. Bergin, A new characterisation of Cesàro-Perron integrals using Peano derivates,Trans. Amer. Math. Soc.,228 (1977), 287–305.
P. S. Bullen and S. N. Mukhopadhyay, Peano derivatives and general integrals,Pacific J. Math.,47 (1973), 43–58.
J. C. Burkill, The Cesàro-Perron scale of integration,Proc. London Math. Soc.,39 (1935), 541–552.
E. Hille and R. S. Phillips,Functional analysis and semigroups, Amer. Math. Soc. Coll. Publication 31 (Providence, 1957).
B. K. Pal and S. N. Mukhopadhyay, The Cesàro-Denjoy-Bochner, scale of integrals,Acta Math. Hungar.,42 (1983), 243–255.
B. K. Pal, Integration by parts formulae for Denjoy-Bochner and Denjoy-Pettis integrals, to appear.
W. L. C. Sargent, A descriptive definition of Cesàro-Perron integrals,Proc. London Math. Soc.,47 (1941), 212–247.
W. L. C. Sargent, On generalised derivatives and Cesàro-Denjoy integrals,Proc. London Math. Soc.,52 (1951), 365–376.
D. W. Solomon,Denjoy integration in abstract spaces. Memoirs of the Amer. Math. Soc. No. 85 (Providence, 1969).
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Pal, B.K., Mukhopadhyay, S.N. The Cesàro-Denjoy-Pettis scale of integration. Acta Math Hung 45, 289–295 (1985). https://doi.org/10.1007/BF01957023
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DOI: https://doi.org/10.1007/BF01957023