Generalized derivatives and integrals of Cesàro-Perron type. I (Q2018020)
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scientific article; zbMATH DE number 6418903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized derivatives and integrals of Cesàro-Perron type. I |
scientific article; zbMATH DE number 6418903 |
Statements
Generalized derivatives and integrals of Cesàro-Perron type. I (English)
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24 March 2015
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The author of this paper introduces and studies a generalization of classical's Burkill definitions for the notions of Cesàro-Perron \(C_k\)-derivative and \(C_k\)P integral, involving an arbitrary averaging kernel. Then the relationships between lower and upper derivatives generated by an averaging kernel and approximate derivatives are investigated.
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