The relation between two definite integrals
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- by George E. Cross PDF
- Proc. Amer. Math. Soc. 11 (1960), 578-579 Request permission
References
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J. C. Burkill, The Cesàro-Perron scale of integration, Proc. London Math. Soc. (2) vol. 39 (1935) pp. 541-552.
- R. D. James, Generalized $n$th primitives, Trans. Amer. Math. Soc. 76 (1954), 149–176. MR 60002, DOI 10.1090/S0002-9947-1954-0060002-0 L. M. Milne-Thomson, The calculus of finite differences, London, 1933. S. Saks, Theory of the integral, Warsaw, 1937.
- W. L. C. Sargent, On generalized derivatives and Cesàro-Denjoy integrals, Proc. London Math. Soc. (2) 52 (1951), 365–376. MR 41199, DOI 10.1112/plms/s2-52.5.365 A. Zygmund, Trigonometric series, 2nd ed., vol. II, Cambridge, 1958.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 578-579
- MSC: Primary 28.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0117313-8
- MathSciNet review: 0117313