New Sharp Error Bounds for Some Corrected Quadrature Formulae
DOI:
https://doi.org/10.5644/SJM.09.1.03Keywords:
Sharp error bounds, corrected trapezoid type inequality, corrected midpoint type inequality, Simpson type inequality, corrected Simpson type inequality, corrected averaged midpoint-trapezoid type inequalityAbstract
A generalization of the pre-Grüss inequality is used to derive a new sharp $L_2$ inequality which provides improved versions of some corrected inequalities that appear in the literature. An application to numerical integration is illustrated.
2010 Mathematics Subject Classification. 26D15
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References
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