Bounds for the Third Peano Constants of Gaussian Quadrature Formulae
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- 作者：K. Petras
- 刊名：Acta Mathematica Hungarica
- 出版年：1999
- 出版时间：1999
- 年：1999
- 卷：83
- 期：3
- 页码：241-250
- 全文大小：408 KB
文摘
Denote by RnG the remainder functional of the Gaussian quadrature formula involving n nodes. Using an elementary method, we derive the asymptotically best possible inequalities | RnG [ f ] | < \frac1N3 ( \fracp4 512 + \frac1.45?N ) || f""¡é ||£¤ \left| {R_n^G \left[ f \right]} \right| \underline{\underline