Generalized derivatives and integrals of Cesàro–Perron type. II
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2014), pp. 3-10 Cet article a éte moissonné depuis la source Math-Net.Ru

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Several equivalent definitions of $C_k$-derivative and $C_kP$-integral of Burkill are shown to behave better than the original definitions in certain cases. In particular, a Marcinkiewicz-type theorem is established for a modified definition of $C_kP$-integral.
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A. V. Dergachev. Generalized derivatives and integrals of Cesàro–Perron type. II. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2014), pp. 3-10. http://geodesic.mathdoc.fr/item/VMUMM_2014_6_a0/

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