A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications
A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-03-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/824610 |
| Summary: | A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given. |
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| ISSN: | 1025-5834 1029-242X |