ScienceAsia 44(2018): 54-65 |doi:
A companion of Ostrowski's inequality for complex functions defined on the unit circle and applications
Gang Li, Yue Luan, Jiangyong Yu*
ABSTRACT: Some companions of Ostrowski's inequality for complex functions defined on the unit circle are proved. Our results in special cases not only recapture known results, but also give a smaller estimator than that of the known results. Applications to a composite quadrature rule and to functions of unitary operators in Hilbert spaces are also considered.
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|College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
* Corresponding author, E-mail: email@example.com
Received 3 Jul 2017, Accepted 15 Oct 2017