Abstract
In this paper, both low order and high order extensions of the Iyengar type inequality are obtained. Such extensions are the best possible in the same sense as that of the Iyengar inequality. Furthermore, the Chebyshev central algorithms of integrals for some function classes and some related problems are also considered and investigated.
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This work is supported by the Special Funds for Major State Basic Research Projects (Grant No. G19990328) and National Science Foundation of China (Grant No. 10471128)
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Wang, X.H., Yang, S.J. The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals. Acta Math Sinica 21, 1361–1376 (2005). https://doi.org/10.1007/s10114-005-0578-5
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DOI: https://doi.org/10.1007/s10114-005-0578-5
Keywords
- Iyengar inequality
- Chebyshev center
- Best quadrature formula
- Best interpolation
- Nikolskii type estimations