The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals

Authors
Wang, Xing Hua Yang, Shi Jun
Citation
Wang, Xing Hua et Yang, Shi Jun, The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals, Acta mathematica Sinica. English series (Print) , 21(6), 2005, pp. 1361-1376
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
6
Year of publication
2005
Pages
1361 - 1376
Database
ACNP
SICI code
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.