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Generalized derivatives and integrals of Cesàro-Perron type. II - MaRDI portal

Generalized derivatives and integrals of Cesàro-Perron type. II (Q2356493)

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Generalized derivatives and integrals of Cesàro-Perron type. II
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    Generalized derivatives and integrals of Cesàro-Perron type. II (English)
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    30 July 2015
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    The author continues the study of a generalization of classical's Burkill definitions for the notions of Cesàro-Perron \(C_k\)-derivative and \(C_k P\) integral started in [the author, Mosc. Univ. Math. Bull. 69, No. 2, 56--66 (2014; Zbl 1320.26003); translation from Vestn. Mosk. Univ., Ser I 69, No. 2, 14--25 (2014)]. It is proved that the \(C_k^k P\)-integral possesses the Marcinkiewicz property.
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