Generalized integrals as limits of Riemann-like sums (Q1109906)
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scientific article; zbMATH DE number 4071249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized integrals as limits of Riemann-like sums |
scientific article; zbMATH DE number 4071249 |
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Generalized integrals as limits of Riemann-like sums (English)
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1988
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In this interesting paper the author extends Henstock's generalized Riemann integration process so as to enable it to handle higher order generalized derivatives. In particular the integral will integrate finite \(C_ nP\)-integrable functions (to the same value); reference should be made to the author's earlier papers [Can. Math. Bull. 29, 334-340 (1986; Zbl 0595.26003); Real Anal. Exch. 11(1985/86), 347-364 (1986; Zbl 0608.26005)].
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Henstock's generalized Riemann integration process
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higher order generalized derivatives
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\(C_ nP\)-integrable functions
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0.9161417
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0.91543794
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0.8992879
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